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Finding the Fourth Proportional to 616,088.84, 922,845.32 and 495,494

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Solution

The fourth proportional to 616,088.84, 922,845.32 and 495,494 is: 742,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,088.84 : 922,845.32 = 495,494 : x
  2. Step 2: Convert to fraction form
    616,088.84/922,845.32 = 495,494/x
  3. Step 3: Cross multiply
    616,088.84x = 922,845.32 × 495,494
  4. Step 4: Simplify right side
    616,088.84x = 457,264,318,988.08
  5. Step 5: Solve for x
    x = 457,264,318,988.08/616,088.84
  6. Step 6: Final answer
    x = 742,205.16

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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.