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Finding the Fourth Proportional to 652,151.30, 978,226.95 and 473,692.10

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Solution

The fourth proportional to 652,151.30, 978,226.95 and 473,692.10 is: 710,538.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,151.30 : 978,226.95 = 473,692.10 : x
  2. Step 2: Convert to fraction form
    652,151.30/978,226.95 = 473,692.10/x
  3. Step 3: Cross multiply
    652,151.30x = 978,226.95 × 473,692.10
  4. Step 4: Simplify right side
    652,151.30x = 463,378,378,222.10
  5. Step 5: Solve for x
    x = 463,378,378,222.10/652,151.30
  6. Step 6: Final answer
    x = 710,538.15

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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.