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Finding the Fourth Proportional to 402,567.98, 603,838.10 and 103,051.14

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Solution

The fourth proportional to 402,567.98, 603,838.10 and 103,051.14 is: 154,573.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,567.98 : 603,838.10 = 103,051.14 : x
  2. Step 2: Convert to fraction form
    402,567.98/603,838.10 = 103,051.14/x
  3. Step 3: Cross multiply
    402,567.98x = 603,838.10 × 103,051.14
  4. Step 4: Simplify right side
    402,567.98x = 62,226,204,580.43
  5. Step 5: Solve for x
    x = 62,226,204,580.43/402,567.98
  6. Step 6: Final answer
    x = 154,573.16

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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.