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Finding the Fourth Proportional to 435,901.40, 653,852.10 and 381,663.80

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Solution

The fourth proportional to 435,901.40, 653,852.10 and 381,663.80 is: 572,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,901.40 : 653,852.10 = 381,663.80 : x
  2. Step 2: Convert to fraction form
    435,901.40/653,852.10 = 381,663.80/x
  3. Step 3: Cross multiply
    435,901.40x = 653,852.10 × 381,663.80
  4. Step 4: Simplify right side
    435,901.40x = 249,551,677,123.98
  5. Step 5: Solve for x
    x = 249,551,677,123.98/435,901.40
  6. Step 6: Final answer
    x = 572,495.70

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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.