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Finding the Fourth Proportional to 537,931.74, 742,316.40 and 296,168.40

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Solution

The fourth proportional to 537,931.74, 742,316.40 and 296,168.40 is: 408,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,931.74 : 742,316.40 = 296,168.40 : x
  2. Step 2: Convert to fraction form
    537,931.74/742,316.40 = 296,168.40/x
  3. Step 3: Cross multiply
    537,931.74x = 742,316.40 × 296,168.40
  4. Step 4: Simplify right side
    537,931.74x = 219,850,660,481.76
  5. Step 5: Solve for x
    x = 219,850,660,481.76/537,931.74
  6. Step 6: Final answer
    x = 408,696.20

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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.