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Finding the Fourth Proportional to 473,433.40, 710,150.10 and 421,823.80

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Solution

The fourth proportional to 473,433.40, 710,150.10 and 421,823.80 is: 632,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,433.40 : 710,150.10 = 421,823.80 : x
  2. Step 2: Convert to fraction form
    473,433.40/710,150.10 = 421,823.80/x
  3. Step 3: Cross multiply
    473,433.40x = 710,150.10 × 421,823.80
  4. Step 4: Simplify right side
    473,433.40x = 299,558,213,752.38
  5. Step 5: Solve for x
    x = 299,558,213,752.38/473,433.40
  6. Step 6: Final answer
    x = 632,735.70

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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.