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Finding the Fourth Proportional to 497,357.35, 746,256.54 and 260,643.76

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Solution

The fourth proportional to 497,357.35, 746,256.54 and 260,643.76 is: 391,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,357.35 : 746,256.54 = 260,643.76 : x
  2. Step 2: Convert to fraction form
    497,357.35/746,256.54 = 260,643.76/x
  3. Step 3: Cross multiply
    497,357.35x = 746,256.54 × 260,643.76
  4. Step 4: Simplify right side
    497,357.35x = 194,507,110,510.19
  5. Step 5: Solve for x
    x = 194,507,110,510.19/497,357.35
  6. Step 6: Final answer
    x = 391,081.20

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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.