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Finding the Fourth Proportional to 426,670.29, 588,798.87 and 233,075.70

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Solution

The fourth proportional to 426,670.29, 588,798.87 and 233,075.70 is: 321,641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,670.29 : 588,798.87 = 233,075.70 : x
  2. Step 2: Convert to fraction form
    426,670.29/588,798.87 = 233,075.70/x
  3. Step 3: Cross multiply
    426,670.29x = 588,798.87 × 233,075.70
  4. Step 4: Simplify right side
    426,670.29x = 137,234,708,784.46
  5. Step 5: Solve for x
    x = 137,234,708,784.46/426,670.29
  6. Step 6: Final answer
    x = 321,641.12

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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.