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Finding the Fourth Proportional to 401,710.56, 602,569.32 and 102,191.46

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Solution

The fourth proportional to 401,710.56, 602,569.32 and 102,191.46 is: 153,288.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,710.56 : 602,569.32 = 102,191.46 : x
  2. Step 2: Convert to fraction form
    401,710.56/602,569.32 = 102,191.46/x
  3. Step 3: Cross multiply
    401,710.56x = 602,569.32 × 102,191.46
  4. Step 4: Simplify right side
    401,710.56x = 61,577,438,562.01
  5. Step 5: Solve for x
    x = 61,577,438,562.01/401,710.56
  6. Step 6: Final answer
    x = 153,288.08

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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.