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Finding the Fourth Proportional to 411,430.42, 567,826.50 and 230,152.42

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Solution

The fourth proportional to 411,430.42, 567,826.50 and 230,152.42 is: 317,639.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,430.42 : 567,826.50 = 230,152.42 : x
  2. Step 2: Convert to fraction form
    411,430.42/567,826.50 = 230,152.42/x
  3. Step 3: Cross multiply
    411,430.42x = 567,826.50 × 230,152.42
  4. Step 4: Simplify right side
    411,430.42x = 130,686,643,115.13
  5. Step 5: Solve for x
    x = 130,686,643,115.13/411,430.42
  6. Step 6: Final answer
    x = 317,639.72

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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.