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Finding the Fourth Proportional to 567,461.85, 783,102.68 and 312,822.15

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Solution

The fourth proportional to 567,461.85, 783,102.68 and 312,822.15 is: 431,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,461.85 : 783,102.68 = 312,822.15 : x
  2. Step 2: Convert to fraction form
    567,461.85/783,102.68 = 312,822.15/x
  3. Step 3: Cross multiply
    567,461.85x = 783,102.68 × 312,822.15
  4. Step 4: Simplify right side
    567,461.85x = 244,971,862,464.25
  5. Step 5: Solve for x
    x = 244,971,862,464.25/567,461.85
  6. Step 6: Final answer
    x = 431,697.50

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1.5x scale

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.