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Finding the Fourth Proportional to 705,957.84, 974,304.72 and 419,478.12

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Solution

The fourth proportional to 705,957.84, 974,304.72 and 419,478.12 is: 578,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,957.84 : 974,304.72 = 419,478.12 : x
  2. Step 2: Convert to fraction form
    705,957.84/974,304.72 = 419,478.12/x
  3. Step 3: Cross multiply
    705,957.84x = 974,304.72 × 419,478.12
  4. Step 4: Simplify right side
    705,957.84x = 408,699,512,252.73
  5. Step 5: Solve for x
    x = 408,699,512,252.73/705,957.84
  6. Step 6: Final answer
    x = 578,929.07

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1.5x scale

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.