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Finding the Fourth Proportional to 832,005.10, 1,248,007.65 and 823,710.70

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Solution

The fourth proportional to 832,005.10, 1,248,007.65 and 823,710.70 is: 1,235,566.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,005.10 : 1,248,007.65 = 823,710.70 : x
  2. Step 2: Convert to fraction form
    832,005.10/1,248,007.65 = 823,710.70/x
  3. Step 3: Cross multiply
    832,005.10x = 1,248,007.65 × 823,710.70
  4. Step 4: Simplify right side
    832,005.10x = 1,027,997,254,986.85
  5. Step 5: Solve for x
    x = 1,027,997,254,986.85/832,005.10
  6. Step 6: Final answer
    x = 1,235,566.05

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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.