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Finding the Fourth Proportional to 415,607.16, 573,741.18 and 313,473.72

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Solution

The fourth proportional to 415,607.16, 573,741.18 and 313,473.72 is: 432,747.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,607.16 : 573,741.18 = 313,473.72 : x
  2. Step 2: Convert to fraction form
    415,607.16/573,741.18 = 313,473.72/x
  3. Step 3: Cross multiply
    415,607.16x = 573,741.18 × 313,473.72
  4. Step 4: Simplify right side
    415,607.16x = 179,852,782,011.79
  5. Step 5: Solve for x
    x = 179,852,782,011.79/415,607.16
  6. Step 6: Final answer
    x = 432,747.07

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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.