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Finding the Fourth Proportional to 471,502.06, 707,235.66 and 205,263.16

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Solution

The fourth proportional to 471,502.06, 707,235.66 and 205,263.16 is: 307,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,502.06 : 707,235.66 = 205,263.16 : x
  2. Step 2: Convert to fraction form
    471,502.06/707,235.66 = 205,263.16/x
  3. Step 3: Cross multiply
    471,502.06x = 707,235.66 × 205,263.16
  4. Step 4: Simplify right side
    471,502.06x = 145,169,426,436.29
  5. Step 5: Solve for x
    x = 145,169,426,436.29/471,502.06
  6. Step 6: Final answer
    x = 307,887.15

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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.