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Finding the Fourth Proportional to 583,209.50, 804,829.12 and 314,937.50

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Solution

The fourth proportional to 583,209.50, 804,829.12 and 314,937.50 is: 434,613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,209.50 : 804,829.12 = 314,937.50 : x
  2. Step 2: Convert to fraction form
    583,209.50/804,829.12 = 314,937.50/x
  3. Step 3: Cross multiply
    583,209.50x = 804,829.12 × 314,937.50
  4. Step 4: Simplify right side
    583,209.50x = 253,470,870,980
  5. Step 5: Solve for x
    x = 253,470,870,980/583,209.50
  6. Step 6: Final answer
    x = 434,613.76

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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.