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Finding the Fourth Proportional to 559,003.80, 838,505.70 and 402,706.20

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Solution

The fourth proportional to 559,003.80, 838,505.70 and 402,706.20 is: 604,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,003.80 : 838,505.70 = 402,706.20 : x
  2. Step 2: Convert to fraction form
    559,003.80/838,505.70 = 402,706.20/x
  3. Step 3: Cross multiply
    559,003.80x = 838,505.70 × 402,706.20
  4. Step 4: Simplify right side
    559,003.80x = 337,671,444,125.34
  5. Step 5: Solve for x
    x = 337,671,444,125.34/559,003.80
  6. Step 6: Final answer
    x = 604,059.30

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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.