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Finding the Fourth Proportional to 495,916.38, 684,316.86 and 278,134.02

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Solution

The fourth proportional to 495,916.38, 684,316.86 and 278,134.02 is: 383,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,916.38 : 684,316.86 = 278,134.02 : x
  2. Step 2: Convert to fraction form
    495,916.38/684,316.86 = 278,134.02/x
  3. Step 3: Cross multiply
    495,916.38x = 684,316.86 × 278,134.02
  4. Step 4: Simplify right side
    495,916.38x = 190,331,799,225.58
  5. Step 5: Solve for x
    x = 190,331,799,225.58/495,916.38
  6. Step 6: Final answer
    x = 383,798.17

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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.