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Finding the Fourth Proportional to 553,139.80, 828,834.90 and 411,422.20

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Solution

The fourth proportional to 553,139.80, 828,834.90 and 411,422.20 is: 616,482.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,139.80 : 828,834.90 = 411,422.20 : x
  2. Step 2: Convert to fraction form
    553,139.80/828,834.90 = 411,422.20/x
  3. Step 3: Cross multiply
    553,139.80x = 828,834.90 × 411,422.20
  4. Step 4: Simplify right side
    553,139.80x = 341,001,077,994.78
  5. Step 5: Solve for x
    x = 341,001,077,994.78/553,139.80
  6. Step 6: Final answer
    x = 616,482.63

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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.