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Finding the Fourth Proportional to 616,831.94, 924,877.52 and 256,569.46

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Solution

The fourth proportional to 616,831.94, 924,877.52 and 256,569.46 is: 384,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,831.94 : 924,877.52 = 256,569.46 : x
  2. Step 2: Convert to fraction form
    616,831.94/924,877.52 = 256,569.46/x
  3. Step 3: Cross multiply
    616,831.94x = 924,877.52 × 256,569.46
  4. Step 4: Simplify right side
    616,831.94x = 237,295,325,872.54
  5. Step 5: Solve for x
    x = 237,295,325,872.54/616,831.94
  6. Step 6: Final answer
    x = 384,700.13

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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.