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Finding the Fourth Proportional to 553,721.90, 829,416.45 and 553,721.90

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Solution

The fourth proportional to 553,721.90, 829,416.45 and 553,721.90 is: 829,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,721.90 : 829,416.45 = 553,721.90 : x
  2. Step 2: Convert to fraction form
    553,721.90/829,416.45 = 553,721.90/x
  3. Step 3: Cross multiply
    553,721.90x = 829,416.45 × 553,721.90
  4. Step 4: Simplify right side
    553,721.90x = 459,266,052,585.26
  5. Step 5: Solve for x
    x = 459,266,052,585.26/553,721.90
  6. Step 6: Final answer
    x = 829,416.45

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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.