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Finding the Fourth Proportional to 292,085.90, 409,510.75 and 292,085.90

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Solution

The fourth proportional to 292,085.90, 409,510.75 and 292,085.90 is: 409,510.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,085.90 : 409,510.75 = 292,085.90 : x
  2. Step 2: Convert to fraction form
    292,085.90/409,510.75 = 292,085.90/x
  3. Step 3: Cross multiply
    292,085.90x = 409,510.75 × 292,085.90
  4. Step 4: Simplify right side
    292,085.90x = 119,612,315,973.43
  5. Step 5: Solve for x
    x = 119,612,315,973.43/292,085.90
  6. Step 6: Final answer
    x = 409,510.75

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.