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Finding the Fourth Proportional to 652,200.80, 978,301.20 and 473,741.60

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Solution

The fourth proportional to 652,200.80, 978,301.20 and 473,741.60 is: 710,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,200.80 : 978,301.20 = 473,741.60 : x
  2. Step 2: Convert to fraction form
    652,200.80/978,301.20 = 473,741.60/x
  3. Step 3: Cross multiply
    652,200.80x = 978,301.20 × 473,741.60
  4. Step 4: Simplify right side
    652,200.80x = 463,461,975,769.92
  5. Step 5: Solve for x
    x = 463,461,975,769.92/652,200.80
  6. Step 6: Final answer
    x = 710,612.40

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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.