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Finding the Fourth Proportional to 559,970.20, 838,205.70 and 402,506.20

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Solution

The fourth proportional to 559,970.20, 838,205.70 and 402,506.20 is: 602,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,970.20 : 838,205.70 = 402,506.20 : x
  2. Step 2: Convert to fraction form
    559,970.20/838,205.70 = 402,506.20/x
  3. Step 3: Cross multiply
    559,970.20x = 838,205.70 × 402,506.20
  4. Step 4: Simplify right side
    559,970.20x = 337,382,991,125.34
  5. Step 5: Solve for x
    x = 337,382,991,125.34/559,970.20
  6. Step 6: Final answer
    x = 602,501.69

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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.