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Finding the Fourth Proportional to 601,048.14, 829,465.22 and 329,141.86

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Solution

The fourth proportional to 601,048.14, 829,465.22 and 329,141.86 is: 454,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,048.14 : 829,465.22 = 329,141.86 : x
  2. Step 2: Convert to fraction form
    601,048.14/829,465.22 = 329,141.86/x
  3. Step 3: Cross multiply
    601,048.14x = 829,465.22 × 329,141.86
  4. Step 4: Simplify right side
    601,048.14x = 273,011,725,316.11
  5. Step 5: Solve for x
    x = 273,011,725,316.11/601,048.14
  6. Step 6: Final answer
    x = 454,226.05

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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.