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Finding the Fourth Proportional to 284,386.14, 392,449.59 and 155,323.98

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Solution

The fourth proportional to 284,386.14, 392,449.59 and 155,323.98 is: 214,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,386.14 : 392,449.59 = 155,323.98 : x
  2. Step 2: Convert to fraction form
    284,386.14/392,449.59 = 155,323.98/x
  3. Step 3: Cross multiply
    284,386.14x = 392,449.59 × 155,323.98
  4. Step 4: Simplify right side
    284,386.14x = 60,956,832,268.17
  5. Step 5: Solve for x
    x = 60,956,832,268.17/284,386.14
  6. Step 6: Final answer
    x = 214,345.30

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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.