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Finding the Fourth Proportional to 553,723.70, 830,067.15 and 433,714.10

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Solution

The fourth proportional to 553,723.70, 830,067.15 and 433,714.10 is: 650,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,723.70 : 830,067.15 = 433,714.10 : x
  2. Step 2: Convert to fraction form
    553,723.70/830,067.15 = 433,714.10/x
  3. Step 3: Cross multiply
    553,723.70x = 830,067.15 × 433,714.10
  4. Step 4: Simplify right side
    553,723.70x = 360,011,826,901.82
  5. Step 5: Solve for x
    x = 360,011,826,901.82/553,723.70
  6. Step 6: Final answer
    x = 650,165.10

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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.