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Finding the Fourth Proportional to 553,364.10, 830,046.15 and 506,124.90

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Solution

The fourth proportional to 553,364.10, 830,046.15 and 506,124.90 is: 759,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,364.10 : 830,046.15 = 506,124.90 : x
  2. Step 2: Convert to fraction form
    553,364.10/830,046.15 = 506,124.90/x
  3. Step 3: Cross multiply
    553,364.10x = 830,046.15 × 506,124.90
  4. Step 4: Simplify right side
    553,364.10x = 420,107,024,664.14
  5. Step 5: Solve for x
    x = 420,107,024,664.14/553,364.10
  6. Step 6: Final answer
    x = 759,187.35

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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.