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Finding the Fourth Proportional to 535,767.06, 803,441.13 and 194,129.33

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Solution

The fourth proportional to 535,767.06, 803,441.13 and 194,129.33 is: 291,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,767.06 : 803,441.13 = 194,129.33 : x
  2. Step 2: Convert to fraction form
    535,767.06/803,441.13 = 194,129.33/x
  3. Step 3: Cross multiply
    535,767.06x = 803,441.13 × 194,129.33
  4. Step 4: Simplify right side
    535,767.06x = 155,971,488,261.34
  5. Step 5: Solve for x
    x = 155,971,488,261.34/535,767.06
  6. Step 6: Final answer
    x = 291,118.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.