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Finding the Fourth Proportional to 652,202.80, 978,304.20 and 473,743.60

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Solution

The fourth proportional to 652,202.80, 978,304.20 and 473,743.60 is: 710,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,202.80 : 978,304.20 = 473,743.60 : x
  2. Step 2: Convert to fraction form
    652,202.80/978,304.20 = 473,743.60/x
  3. Step 3: Cross multiply
    652,202.80x = 978,304.20 × 473,743.60
  4. Step 4: Simplify right side
    652,202.80x = 463,465,353,603.12
  5. Step 5: Solve for x
    x = 463,465,353,603.12/652,202.80
  6. Step 6: Final answer
    x = 710,615.40

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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.