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Finding the Fourth Proportional to 716,914, 989,225.52 and 410,934.04

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Solution

The fourth proportional to 716,914, 989,225.52 and 410,934.04 is: 567,022.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,914 : 989,225.52 = 410,934.04 : x
  2. Step 2: Convert to fraction form
    716,914/989,225.52 = 410,934.04/x
  3. Step 3: Cross multiply
    716,914x = 989,225.52 × 410,934.04
  4. Step 4: Simplify right side
    716,914x = 406,506,439,404.70
  5. Step 5: Solve for x
    x = 406,506,439,404.70/716,914
  6. Step 6: Final answer
    x = 567,022.60

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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.