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Finding the Fourth Proportional to 559,149.42, 838,971.05 and 433,878.06

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Solution

The fourth proportional to 559,149.42, 838,971.05 and 433,878.06 is: 651,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,149.42 : 838,971.05 = 433,878.06 : x
  2. Step 2: Convert to fraction form
    559,149.42/838,971.05 = 433,878.06/x
  3. Step 3: Cross multiply
    559,149.42x = 838,971.05 × 433,878.06
  4. Step 4: Simplify right side
    559,149.42x = 364,011,131,570.16
  5. Step 5: Solve for x
    x = 364,011,131,570.16/559,149.42
  6. Step 6: Final answer
    x = 651,008.69

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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.