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Finding the Fourth Proportional to 652,095.60, 978,143.40 and 652,095.60

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Solution

The fourth proportional to 652,095.60, 978,143.40 and 652,095.60 is: 978,143.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,095.60 : 978,143.40 = 652,095.60 : x
  2. Step 2: Convert to fraction form
    652,095.60/978,143.40 = 652,095.60/x
  3. Step 3: Cross multiply
    652,095.60x = 978,143.40 × 652,095.60
  4. Step 4: Simplify right side
    652,095.60x = 637,843,007,309.04
  5. Step 5: Solve for x
    x = 637,843,007,309.04/652,095.60
  6. Step 6: Final answer
    x = 978,143.40

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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.