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Finding the Fourth Proportional to 537,802.65, 742,139.49 and 296,038

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Solution

The fourth proportional to 537,802.65, 742,139.49 and 296,038 is: 408,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,802.65 : 742,139.49 = 296,038 : x
  2. Step 2: Convert to fraction form
    537,802.65/742,139.49 = 296,038/x
  3. Step 3: Cross multiply
    537,802.65x = 742,139.49 × 296,038
  4. Step 4: Simplify right side
    537,802.65x = 219,701,490,340.62
  5. Step 5: Solve for x
    x = 219,701,490,340.62/537,802.65
  6. Step 6: Final answer
    x = 408,516.94

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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.