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Finding the Fourth Proportional to 713,506.84, 984,612.78 and 391,209.40

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Solution

The fourth proportional to 713,506.84, 984,612.78 and 391,209.40 is: 539,854.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,506.84 : 984,612.78 = 391,209.40 : x
  2. Step 2: Convert to fraction form
    713,506.84/984,612.78 = 391,209.40/x
  3. Step 3: Cross multiply
    713,506.84x = 984,612.78 × 391,209.40
  4. Step 4: Simplify right side
    713,506.84x = 385,189,774,896.13
  5. Step 5: Solve for x
    x = 385,189,774,896.13/713,506.84
  6. Step 6: Final answer
    x = 539,854.35

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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.