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Finding the Fourth Proportional to 464,009.40, 696,014.10 and 322,291.80

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Solution

The fourth proportional to 464,009.40, 696,014.10 and 322,291.80 is: 483,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,009.40 : 696,014.10 = 322,291.80 : x
  2. Step 2: Convert to fraction form
    464,009.40/696,014.10 = 322,291.80/x
  3. Step 3: Cross multiply
    464,009.40x = 696,014.10 × 322,291.80
  4. Step 4: Simplify right side
    464,009.40x = 224,319,637,114.38
  5. Step 5: Solve for x
    x = 224,319,637,114.38/464,009.40
  6. Step 6: Final answer
    x = 483,437.70

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.