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Finding the Fourth Proportional to 401,543.10, 602,314.65 and 164,763.90

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Solution

The fourth proportional to 401,543.10, 602,314.65 and 164,763.90 is: 247,145.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,543.10 : 602,314.65 = 164,763.90 : x
  2. Step 2: Convert to fraction form
    401,543.10/602,314.65 = 164,763.90/x
  3. Step 3: Cross multiply
    401,543.10x = 602,314.65 × 164,763.90
  4. Step 4: Simplify right side
    401,543.10x = 99,239,710,761.14
  5. Step 5: Solve for x
    x = 99,239,710,761.14/401,543.10
  6. Step 6: Final answer
    x = 247,145.85

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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.