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Finding the Fourth Proportional to 292,365, 438,549.66 and 70,749

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Solution

The fourth proportional to 292,365, 438,549.66 and 70,749 is: 106,124.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,365 : 438,549.66 = 70,749 : x
  2. Step 2: Convert to fraction form
    292,365/438,549.66 = 70,749/x
  3. Step 3: Cross multiply
    292,365x = 438,549.66 × 70,749
  4. Step 4: Simplify right side
    292,365x = 31,026,949,895.34
  5. Step 5: Solve for x
    x = 31,026,949,895.34/292,365
  6. Step 6: Final answer
    x = 106,124.02

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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.