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Finding the Fourth Proportional to 922,357.84, 1,383,957.10 and 473,393.96

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Solution

The fourth proportional to 922,357.84, 1,383,957.10 and 473,393.96 is: 710,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,357.84 : 1,383,957.10 = 473,393.96 : x
  2. Step 2: Convert to fraction form
    922,357.84/1,383,957.10 = 473,393.96/x
  3. Step 3: Cross multiply
    922,357.84x = 1,383,957.10 × 473,393.96
  4. Step 4: Simplify right side
    922,357.84x = 655,156,932,039.12
  5. Step 5: Solve for x
    x = 655,156,932,039.12/922,357.84
  6. Step 6: Final answer
    x = 710,306.68

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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.