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Finding the Fourth Proportional to 442,714.52, 610,869.77 and 249,095.36

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Solution

The fourth proportional to 442,714.52, 610,869.77 and 249,095.36 is: 343,708.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,714.52 : 610,869.77 = 249,095.36 : x
  2. Step 2: Convert to fraction form
    442,714.52/610,869.77 = 249,095.36/x
  3. Step 3: Cross multiply
    442,714.52x = 610,869.77 × 249,095.36
  4. Step 4: Simplify right side
    442,714.52x = 152,164,826,487.07
  5. Step 5: Solve for x
    x = 152,164,826,487.07/442,714.52
  6. Step 6: Final answer
    x = 343,708.69

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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.