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Finding the Fourth Proportional to 538,027.52, 742,468.93 and 296,332.60

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Solution

The fourth proportional to 538,027.52, 742,468.93 and 296,332.60 is: 408,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,027.52 : 742,468.93 = 296,332.60 : x
  2. Step 2: Convert to fraction form
    538,027.52/742,468.93 = 296,332.60/x
  3. Step 3: Cross multiply
    538,027.52x = 742,468.93 × 296,332.60
  4. Step 4: Simplify right side
    538,027.52x = 220,017,746,964.46
  5. Step 5: Solve for x
    x = 220,017,746,964.46/538,027.52
  6. Step 6: Final answer
    x = 408,934.00

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Why These Related Problems?

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