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Finding the Fourth Proportional to 473,211.81, 653,034.51 and 258,356.79

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Solution

The fourth proportional to 473,211.81, 653,034.51 and 258,356.79 is: 356,533.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,211.81 : 653,034.51 = 258,356.79 : x
  2. Step 2: Convert to fraction form
    473,211.81/653,034.51 = 258,356.79/x
  3. Step 3: Cross multiply
    473,211.81x = 653,034.51 × 258,356.79
  4. Step 4: Simplify right side
    473,211.81x = 168,715,899,762.82
  5. Step 5: Solve for x
    x = 168,715,899,762.82/473,211.81
  6. Step 6: Final answer
    x = 356,533.58

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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.