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Finding the Fourth Proportional to 369,880.76, 510,272.70 and 216,841.16

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Solution

The fourth proportional to 369,880.76, 510,272.70 and 216,841.16 is: 299,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,880.76 : 510,272.70 = 216,841.16 : x
  2. Step 2: Convert to fraction form
    369,880.76/510,272.70 = 216,841.16/x
  3. Step 3: Cross multiply
    369,880.76x = 510,272.70 × 216,841.16
  4. Step 4: Simplify right side
    369,880.76x = 110,648,124,184.33
  5. Step 5: Solve for x
    x = 110,648,124,184.33/369,880.76
  6. Step 6: Final answer
    x = 299,145.39

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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.