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Finding the Fourth Proportional to 706,646.84, 975,084.08 and 477,702.26

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Solution

The fourth proportional to 706,646.84, 975,084.08 and 477,702.26 is: 659,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,646.84 : 975,084.08 = 477,702.26 : x
  2. Step 2: Convert to fraction form
    706,646.84/975,084.08 = 477,702.26/x
  3. Step 3: Cross multiply
    706,646.84x = 975,084.08 × 477,702.26
  4. Step 4: Simplify right side
    706,646.84x = 465,799,865,098.65
  5. Step 5: Solve for x
    x = 465,799,865,098.65/706,646.84
  6. Step 6: Final answer
    x = 659,169.25

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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.