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Finding the Fourth Proportional to 411,417.19, 616,903.88 and 186,655

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Solution

The fourth proportional to 411,417.19, 616,903.88 and 186,655 is: 279,881.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,417.19 : 616,903.88 = 186,655 : x
  2. Step 2: Convert to fraction form
    411,417.19/616,903.88 = 186,655/x
  3. Step 3: Cross multiply
    411,417.19x = 616,903.88 × 186,655
  4. Step 4: Simplify right side
    411,417.19x = 115,148,193,721.40
  5. Step 5: Solve for x
    x = 115,148,193,721.40/411,417.19
  6. Step 6: Final answer
    x = 279,881.82

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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.