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Finding the Fourth Proportional to 497,701.40, 686,798.34 and 282,811.64

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Solution

The fourth proportional to 497,701.40, 686,798.34 and 282,811.64 is: 390,263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,701.40 : 686,798.34 = 282,811.64 : x
  2. Step 2: Convert to fraction form
    497,701.40/686,798.34 = 282,811.64/x
  3. Step 3: Cross multiply
    497,701.40x = 686,798.34 × 282,811.64
  4. Step 4: Simplify right side
    497,701.40x = 194,234,564,884.68
  5. Step 5: Solve for x
    x = 194,234,564,884.68/497,701.40
  6. Step 6: Final answer
    x = 390,263.25

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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.