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Finding the Fourth Proportional to 553,656.40, 829,318.20 and 553,656.40

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Solution

The fourth proportional to 553,656.40, 829,318.20 and 553,656.40 is: 829,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,656.40 : 829,318.20 = 553,656.40 : x
  2. Step 2: Convert to fraction form
    553,656.40/829,318.20 = 553,656.40/x
  3. Step 3: Cross multiply
    553,656.40x = 829,318.20 × 553,656.40
  4. Step 4: Simplify right side
    553,656.40x = 459,157,329,066.48
  5. Step 5: Solve for x
    x = 459,157,329,066.48/553,656.40
  6. Step 6: Final answer
    x = 829,318.20

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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.