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Finding the Fourth Proportional to 301,123.92, 414,507.76 and 260,269.32

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Solution

The fourth proportional to 301,123.92, 414,507.76 and 260,269.32 is: 358,269.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.92 : 414,507.76 = 260,269.32 : x
  2. Step 2: Convert to fraction form
    301,123.92/414,507.76 = 260,269.32/x
  3. Step 3: Cross multiply
    301,123.92x = 414,507.76 × 260,269.32
  4. Step 4: Simplify right side
    301,123.92x = 107,883,652,829.92
  5. Step 5: Solve for x
    x = 107,883,652,829.92/301,123.92
  6. Step 6: Final answer
    x = 358,269.95

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1.5x scale

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.