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Finding the Fourth Proportional to 530,216.70, 794,158.65 and 471,119.10

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Solution

The fourth proportional to 530,216.70, 794,158.65 and 471,119.10 is: 705,642.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,216.70 : 794,158.65 = 471,119.10 : x
  2. Step 2: Convert to fraction form
    530,216.70/794,158.65 = 471,119.10/x
  3. Step 3: Cross multiply
    530,216.70x = 794,158.65 × 471,119.10
  4. Step 4: Simplify right side
    530,216.70x = 374,143,308,445.22
  5. Step 5: Solve for x
    x = 374,143,308,445.22/530,216.70
  6. Step 6: Final answer
    x = 705,642.26

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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.