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Finding the Fourth Proportional to 597,764.16, 824,447.88 and 382,924.20

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Solution

The fourth proportional to 597,764.16, 824,447.88 and 382,924.20 is: 528,136.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,764.16 : 824,447.88 = 382,924.20 : x
  2. Step 2: Convert to fraction form
    597,764.16/824,447.88 = 382,924.20/x
  3. Step 3: Cross multiply
    597,764.16x = 824,447.88 × 382,924.20
  4. Step 4: Simplify right side
    597,764.16x = 315,701,044,890.70
  5. Step 5: Solve for x
    x = 315,701,044,890.70/597,764.16
  6. Step 6: Final answer
    x = 528,136.46

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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.