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Finding the Fourth Proportional to 660,989.92, 991,307.76 and 286,924

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Solution

The fourth proportional to 660,989.92, 991,307.76 and 286,924 is: 430,309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,989.92 : 991,307.76 = 286,924 : x
  2. Step 2: Convert to fraction form
    660,989.92/991,307.76 = 286,924/x
  3. Step 3: Cross multiply
    660,989.92x = 991,307.76 × 286,924
  4. Step 4: Simplify right side
    660,989.92x = 284,429,987,730.24
  5. Step 5: Solve for x
    x = 284,429,987,730.24/660,989.92
  6. Step 6: Final answer
    x = 430,309.12

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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.