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Finding the Fourth Proportional to 652,356.45, 978,534.68 and 652,356.45

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Solution

The fourth proportional to 652,356.45, 978,534.68 and 652,356.45 is: 978,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,356.45 : 978,534.68 = 652,356.45 : x
  2. Step 2: Convert to fraction form
    652,356.45/978,534.68 = 652,356.45/x
  3. Step 3: Cross multiply
    652,356.45x = 978,534.68 × 652,356.45
  4. Step 4: Simplify right side
    652,356.45x = 638,353,406,784.90
  5. Step 5: Solve for x
    x = 638,353,406,784.90/652,356.45
  6. Step 6: Final answer
    x = 978,534.68

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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.