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Finding the Fourth Proportional to 524,199.64, 785,146.92 and 433,211.16

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Solution

The fourth proportional to 524,199.64, 785,146.92 and 433,211.16 is: 648,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,199.64 : 785,146.92 = 433,211.16 : x
  2. Step 2: Convert to fraction form
    524,199.64/785,146.92 = 433,211.16/x
  3. Step 3: Cross multiply
    524,199.64x = 785,146.92 × 433,211.16
  4. Step 4: Simplify right side
    524,199.64x = 340,134,407,983.63
  5. Step 5: Solve for x
    x = 340,134,407,983.63/524,199.64
  6. Step 6: Final answer
    x = 648,864.25

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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.