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Finding the Fourth Proportional to 497,704.53, 686,802.65 and 282,814.77

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Solution

The fourth proportional to 497,704.53, 686,802.65 and 282,814.77 is: 390,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,704.53 : 686,802.65 = 282,814.77 : x
  2. Step 2: Convert to fraction form
    497,704.53/686,802.65 = 282,814.77/x
  3. Step 3: Cross multiply
    497,704.53x = 686,802.65 × 282,814.77
  4. Step 4: Simplify right side
    497,704.53x = 194,237,930,768.16
  5. Step 5: Solve for x
    x = 194,237,930,768.16/497,704.53
  6. Step 6: Final answer
    x = 390,267.56

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1.5x scale

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.