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Finding the Fourth Proportional to 292,570.50, 403,747.29 and 158,434.50

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Solution

The fourth proportional to 292,570.50, 403,747.29 and 158,434.50 is: 218,639.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,570.50 : 403,747.29 = 158,434.50 : x
  2. Step 2: Convert to fraction form
    292,570.50/403,747.29 = 158,434.50/x
  3. Step 3: Cross multiply
    292,570.50x = 403,747.29 × 158,434.50
  4. Step 4: Simplify right side
    292,570.50x = 63,967,500,017.51
  5. Step 5: Solve for x
    x = 63,967,500,017.51/292,570.50
  6. Step 6: Final answer
    x = 218,639.61

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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.