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Finding the Fourth Proportional to 291,708, 402,557.40 and 157,572

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Solution

The fourth proportional to 291,708, 402,557.40 and 157,572 is: 217,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,708 : 402,557.40 = 157,572 : x
  2. Step 2: Convert to fraction form
    291,708/402,557.40 = 157,572/x
  3. Step 3: Cross multiply
    291,708x = 402,557.40 × 157,572
  4. Step 4: Simplify right side
    291,708x = 63,431,774,632.80
  5. Step 5: Solve for x
    x = 63,431,774,632.80/291,708
  6. Step 6: Final answer
    x = 217,449.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.