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Finding the Fourth Proportional to 652,305.20, 978,457.80 and 586,986.80

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Solution

The fourth proportional to 652,305.20, 978,457.80 and 586,986.80 is: 880,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,305.20 : 978,457.80 = 586,986.80 : x
  2. Step 2: Convert to fraction form
    652,305.20/978,457.80 = 586,986.80/x
  3. Step 3: Cross multiply
    652,305.20x = 978,457.80 × 586,986.80
  4. Step 4: Simplify right side
    652,305.20x = 574,341,812,957.04
  5. Step 5: Solve for x
    x = 574,341,812,957.04/652,305.20
  6. Step 6: Final answer
    x = 880,480.20

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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.