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Finding the Fourth Proportional to 402,981.40, 604,472.10 and 385,266.70

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Solution

The fourth proportional to 402,981.40, 604,472.10 and 385,266.70 is: 577,900.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,981.40 : 604,472.10 = 385,266.70 : x
  2. Step 2: Convert to fraction form
    402,981.40/604,472.10 = 385,266.70/x
  3. Step 3: Cross multiply
    402,981.40x = 604,472.10 × 385,266.70
  4. Step 4: Simplify right side
    402,981.40x = 232,882,971,209.07
  5. Step 5: Solve for x
    x = 232,882,971,209.07/402,981.40
  6. Step 6: Final answer
    x = 577,900.05

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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.