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Finding the Fourth Proportional to 434,854.70, 652,282.05 and 210,322.70

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Solution

The fourth proportional to 434,854.70, 652,282.05 and 210,322.70 is: 315,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,854.70 : 652,282.05 = 210,322.70 : x
  2. Step 2: Convert to fraction form
    434,854.70/652,282.05 = 210,322.70/x
  3. Step 3: Cross multiply
    434,854.70x = 652,282.05 × 210,322.70
  4. Step 4: Simplify right side
    434,854.70x = 137,189,721,917.54
  5. Step 5: Solve for x
    x = 137,189,721,917.54/434,854.70
  6. Step 6: Final answer
    x = 315,484.05

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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.