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Finding the Fourth Proportional to 417,184.71, 575,736.02 and 233,443.91

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Solution

The fourth proportional to 417,184.71, 575,736.02 and 233,443.91 is: 322,164.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,184.71 : 575,736.02 = 233,443.91 : x
  2. Step 2: Convert to fraction form
    417,184.71/575,736.02 = 233,443.91/x
  3. Step 3: Cross multiply
    417,184.71x = 575,736.02 × 233,443.91
  4. Step 4: Simplify right side
    417,184.71x = 134,402,063,590.74
  5. Step 5: Solve for x
    x = 134,402,063,590.74/417,184.71
  6. Step 6: Final answer
    x = 322,164.40

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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.