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Finding the Fourth Proportional to 417,468.95, 576,107.35 and 226,482.29

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Solution

The fourth proportional to 417,468.95, 576,107.35 and 226,482.29 is: 312,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,468.95 : 576,107.35 = 226,482.29 : x
  2. Step 2: Convert to fraction form
    417,468.95/576,107.35 = 226,482.29/x
  3. Step 3: Cross multiply
    417,468.95x = 576,107.35 × 226,482.29
  4. Step 4: Simplify right side
    417,468.95x = 130,478,111,913.83
  5. Step 5: Solve for x
    x = 130,478,111,913.83/417,468.95
  6. Step 6: Final answer
    x = 312,545.67

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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.