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Finding the Fourth Proportional to 723,533.08, 998,460.02 and 417,585.46

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Solution

The fourth proportional to 723,533.08, 998,460.02 and 417,585.46 is: 576,258.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,533.08 : 998,460.02 = 417,585.46 : x
  2. Step 2: Convert to fraction form
    723,533.08/998,460.02 = 417,585.46/x
  3. Step 3: Cross multiply
    723,533.08x = 998,460.02 × 417,585.46
  4. Step 4: Simplify right side
    723,533.08x = 416,942,386,743.31
  5. Step 5: Solve for x
    x = 416,942,386,743.31/723,533.08
  6. Step 6: Final answer
    x = 576,258.91

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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.