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Finding the Fourth Proportional to 538,152.32, 742,646.72 and 296,429.28

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Solution

The fourth proportional to 538,152.32, 742,646.72 and 296,429.28 is: 409,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,152.32 : 742,646.72 = 296,429.28 : x
  2. Step 2: Convert to fraction form
    538,152.32/742,646.72 = 296,429.28/x
  3. Step 3: Cross multiply
    538,152.32x = 742,646.72 × 296,429.28
  4. Step 4: Simplify right side
    538,152.32x = 220,142,231,021.82
  5. Step 5: Solve for x
    x = 220,142,231,021.82/538,152.32
  6. Step 6: Final answer
    x = 409,070.49

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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.