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Finding the Fourth Proportional to 652,211.10, 978,316.65 and 652,211.10

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Solution

The fourth proportional to 652,211.10, 978,316.65 and 652,211.10 is: 978,316.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,211.10 : 978,316.65 = 652,211.10 : x
  2. Step 2: Convert to fraction form
    652,211.10/978,316.65 = 652,211.10/x
  3. Step 3: Cross multiply
    652,211.10x = 978,316.65 × 652,211.10
  4. Step 4: Simplify right side
    652,211.10x = 638,068,978,444.82
  5. Step 5: Solve for x
    x = 638,068,978,444.82/652,211.10
  6. Step 6: Final answer
    x = 978,316.65

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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.