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Finding the Fourth Proportional to 497,484.32, 686,530.64 and 282,636.18

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Solution

The fourth proportional to 497,484.32, 686,530.64 and 282,636.18 is: 390,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,484.32 : 686,530.64 = 282,636.18 : x
  2. Step 2: Convert to fraction form
    497,484.32/686,530.64 = 282,636.18/x
  3. Step 3: Cross multiply
    497,484.32x = 686,530.64 × 282,636.18
  4. Step 4: Simplify right side
    497,484.32x = 194,038,397,542.56
  5. Step 5: Solve for x
    x = 194,038,397,542.56/497,484.32
  6. Step 6: Final answer
    x = 390,039.22

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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.