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Finding the Fourth Proportional to 537,904.95, 742,308.12 and 296,188.14

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Solution

The fourth proportional to 537,904.95, 742,308.12 and 296,188.14 is: 408,739.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,904.95 : 742,308.12 = 296,188.14 : x
  2. Step 2: Convert to fraction form
    537,904.95/742,308.12 = 296,188.14/x
  3. Step 3: Cross multiply
    537,904.95x = 742,308.12 × 296,188.14
  4. Step 4: Simplify right side
    537,904.95x = 219,862,864,986.38
  5. Step 5: Solve for x
    x = 219,862,864,986.38/537,904.95
  6. Step 6: Final answer
    x = 408,739.25

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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.