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Finding the Fourth Proportional to 497,503.77, 686,573.55 and 282,680.22

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Solution

The fourth proportional to 497,503.77, 686,573.55 and 282,680.22 is: 390,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,503.77 : 686,573.55 = 282,680.22 : x
  2. Step 2: Convert to fraction form
    497,503.77/686,573.55 = 282,680.22/x
  3. Step 3: Cross multiply
    497,503.77x = 686,573.55 × 282,680.22
  4. Step 4: Simplify right side
    497,503.77x = 194,080,762,160.18
  5. Step 5: Solve for x
    x = 194,080,762,160.18/497,503.77
  6. Step 6: Final answer
    x = 390,109.13

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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.