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Finding the Fourth Proportional to 652,032.80, 978,049.20 and 569,088.80

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Solution

The fourth proportional to 652,032.80, 978,049.20 and 569,088.80 is: 853,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,032.80 : 978,049.20 = 569,088.80 : x
  2. Step 2: Convert to fraction form
    652,032.80/978,049.20 = 569,088.80/x
  3. Step 3: Cross multiply
    652,032.80x = 978,049.20 × 569,088.80
  4. Step 4: Simplify right side
    652,032.80x = 556,596,845,568.96
  5. Step 5: Solve for x
    x = 556,596,845,568.96/652,032.80
  6. Step 6: Final answer
    x = 853,633.20

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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.