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Finding the Fourth Proportional to 523,999.80, 785,999.70 and 224,429.40

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Solution

The fourth proportional to 523,999.80, 785,999.70 and 224,429.40 is: 336,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,999.80 : 785,999.70 = 224,429.40 : x
  2. Step 2: Convert to fraction form
    523,999.80/785,999.70 = 224,429.40/x
  3. Step 3: Cross multiply
    523,999.80x = 785,999.70 × 224,429.40
  4. Step 4: Simplify right side
    523,999.80x = 176,401,441,071.18
  5. Step 5: Solve for x
    x = 176,401,441,071.18/523,999.80
  6. Step 6: Final answer
    x = 336,644.10

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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.