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Finding the Fourth Proportional to 417,949.54, 626,924.32 and 102,403.72

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Solution

The fourth proportional to 417,949.54, 626,924.32 and 102,403.72 is: 153,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,949.54 : 626,924.32 = 102,403.72 : x
  2. Step 2: Convert to fraction form
    417,949.54/626,924.32 = 102,403.72/x
  3. Step 3: Cross multiply
    417,949.54x = 626,924.32 × 102,403.72
  4. Step 4: Simplify right side
    417,949.54x = 64,199,382,526.47
  5. Step 5: Solve for x
    x = 64,199,382,526.47/417,949.54
  6. Step 6: Final answer
    x = 153,605.58

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1.5x scale

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.