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Finding the Fourth Proportional to 604,937.76, 907,543.34 and 200,129.01

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Solution

The fourth proportional to 604,937.76, 907,543.34 and 200,129.01 is: 300,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,937.76 : 907,543.34 = 200,129.01 : x
  2. Step 2: Convert to fraction form
    604,937.76/907,543.34 = 200,129.01/x
  3. Step 3: Cross multiply
    604,937.76x = 907,543.34 × 200,129.01
  4. Step 4: Simplify right side
    604,937.76x = 181,625,750,166.29
  5. Step 5: Solve for x
    x = 181,625,750,166.29/604,937.76
  6. Step 6: Final answer
    x = 300,238.74

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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.