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Finding the Fourth Proportional to 497,475.72, 686,518.82 and 282,627.58

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Solution

The fourth proportional to 497,475.72, 686,518.82 and 282,627.58 is: 390,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,475.72 : 686,518.82 = 282,627.58 : x
  2. Step 2: Convert to fraction form
    497,475.72/686,518.82 = 282,627.58/x
  3. Step 3: Cross multiply
    497,475.72x = 686,518.82 × 282,627.58
  4. Step 4: Simplify right side
    497,475.72x = 194,029,152,721.06
  5. Step 5: Solve for x
    x = 194,029,152,721.06/497,475.72
  6. Step 6: Final answer
    x = 390,027.38

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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.