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Finding the Fourth Proportional to 592,133.22, 816,627.42 and 419,710.14

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Solution

The fourth proportional to 592,133.22, 816,627.42 and 419,710.14 is: 578,833.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,133.22 : 816,627.42 = 419,710.14 : x
  2. Step 2: Convert to fraction form
    592,133.22/816,627.42 = 419,710.14/x
  3. Step 3: Cross multiply
    592,133.22x = 816,627.42 × 419,710.14
  4. Step 4: Simplify right side
    592,133.22x = 342,746,808,776.04
  5. Step 5: Solve for x
    x = 342,746,808,776.04/592,133.22
  6. Step 6: Final answer
    x = 578,833.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.