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Finding the Fourth Proportional to 497,505.26, 686,575.61 and 282,681.71

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Solution

The fourth proportional to 497,505.26, 686,575.61 and 282,681.71 is: 390,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,505.26 : 686,575.61 = 282,681.71 : x
  2. Step 2: Convert to fraction form
    497,505.26/686,575.61 = 282,681.71/x
  3. Step 3: Cross multiply
    497,505.26x = 686,575.61 × 282,681.71
  4. Step 4: Simplify right side
    497,505.26x = 194,082,362,632.81
  5. Step 5: Solve for x
    x = 194,082,362,632.81/497,505.26
  6. Step 6: Final answer
    x = 390,111.18

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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.