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Finding the Fourth Proportional to 652,189.60, 978,284.40 and 564,709.60

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Solution

The fourth proportional to 652,189.60, 978,284.40 and 564,709.60 is: 847,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,189.60 : 978,284.40 = 564,709.60 : x
  2. Step 2: Convert to fraction form
    652,189.60/978,284.40 = 564,709.60/x
  3. Step 3: Cross multiply
    652,189.60x = 978,284.40 × 564,709.60
  4. Step 4: Simplify right side
    652,189.60x = 552,446,592,210.24
  5. Step 5: Solve for x
    x = 552,446,592,210.24/652,189.60
  6. Step 6: Final answer
    x = 847,064.40

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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.