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Finding the Fourth Proportional to 497,706.66, 686,805.58 and 282,816.90

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Solution

The fourth proportional to 497,706.66, 686,805.58 and 282,816.90 is: 390,270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,706.66 : 686,805.58 = 282,816.90 : x
  2. Step 2: Convert to fraction form
    497,706.66/686,805.58 = 282,816.90/x
  3. Step 3: Cross multiply
    497,706.66x = 686,805.58 × 282,816.90
  4. Step 4: Simplify right side
    497,706.66x = 194,240,225,038.30
  5. Step 5: Solve for x
    x = 194,240,225,038.30/497,706.66
  6. Step 6: Final answer
    x = 390,270.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.