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Finding the Fourth Proportional to 754,482.72, 1,041,168.96 and 414,956.64

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Solution

The fourth proportional to 754,482.72, 1,041,168.96 and 414,956.64 is: 572,630.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,482.72 : 1,041,168.96 = 414,956.64 : x
  2. Step 2: Convert to fraction form
    754,482.72/1,041,168.96 = 414,956.64/x
  3. Step 3: Cross multiply
    754,482.72x = 1,041,168.96 × 414,956.64
  4. Step 4: Simplify right side
    754,482.72x = 432,039,973,313.89
  5. Step 5: Solve for x
    x = 432,039,973,313.89/754,482.72
  6. Step 6: Final answer
    x = 572,630.71

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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.