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Finding the Fourth Proportional to 497,715.57, 686,905.88 and 282,887.93

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Solution

The fourth proportional to 497,715.57, 686,905.88 and 282,887.93 is: 390,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,715.57 : 686,905.88 = 282,887.93 : x
  2. Step 2: Convert to fraction form
    497,715.57/686,905.88 = 282,887.93/x
  3. Step 3: Cross multiply
    497,715.57x = 686,905.88 × 282,887.93
  4. Step 4: Simplify right side
    497,715.57x = 194,317,382,498.03
  5. Step 5: Solve for x
    x = 194,317,382,498.03/497,715.57
  6. Step 6: Final answer
    x = 390,418.53

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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.