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Finding the Fourth Proportional to 538,062.80, 742,497.60 and 296,298.16

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Solution

The fourth proportional to 538,062.80, 742,497.60 and 296,298.16 is: 408,875.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,062.80 : 742,497.60 = 296,298.16 : x
  2. Step 2: Convert to fraction form
    538,062.80/742,497.60 = 296,298.16/x
  3. Step 3: Cross multiply
    538,062.80x = 742,497.60 × 296,298.16
  4. Step 4: Simplify right side
    538,062.80x = 220,000,672,684.42
  5. Step 5: Solve for x
    x = 220,000,672,684.42/538,062.80
  6. Step 6: Final answer
    x = 408,875.46

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1.5x scale

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.