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Finding the Fourth Proportional to 292,437, 403,564.14 and 158,301

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Solution

The fourth proportional to 292,437, 403,564.14 and 158,301 is: 218,455.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,437 : 403,564.14 = 158,301 : x
  2. Step 2: Convert to fraction form
    292,437/403,564.14 = 158,301/x
  3. Step 3: Cross multiply
    292,437x = 403,564.14 × 158,301
  4. Step 4: Simplify right side
    292,437x = 63,884,606,926.14
  5. Step 5: Solve for x
    x = 63,884,606,926.14/292,437
  6. Step 6: Final answer
    x = 218,455.96

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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.