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Finding the Fourth Proportional to 343,681, 514,831.68 and 175,194.52

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Solution

The fourth proportional to 343,681, 514,831.68 and 175,194.52 is: 262,440.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,681 : 514,831.68 = 175,194.52 : x
  2. Step 2: Convert to fraction form
    343,681/514,831.68 = 175,194.52/x
  3. Step 3: Cross multiply
    343,681x = 514,831.68 × 175,194.52
  4. Step 4: Simplify right side
    343,681x = 90,195,689,058.39
  5. Step 5: Solve for x
    x = 90,195,689,058.39/343,681
  6. Step 6: Final answer
    x = 262,440.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.