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Finding the Fourth Proportional to 292,438, 403,564.98 and 158,302

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Solution

The fourth proportional to 292,438, 403,564.98 and 158,302 is: 218,457.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,438 : 403,564.98 = 158,302 : x
  2. Step 2: Convert to fraction form
    292,438/403,564.98 = 158,302/x
  3. Step 3: Cross multiply
    292,438x = 403,564.98 × 158,302
  4. Step 4: Simplify right side
    292,438x = 63,885,143,463.96
  5. Step 5: Solve for x
    x = 63,885,143,463.96/292,438
  6. Step 6: Final answer
    x = 218,457.05

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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.