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Finding the Fourth Proportional to 417,866.72, 575,623.13 and 356,412.71

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Solution

The fourth proportional to 417,866.72, 575,623.13 and 356,412.71 is: 490,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,866.72 : 575,623.13 = 356,412.71 : x
  2. Step 2: Convert to fraction form
    417,866.72/575,623.13 = 356,412.71/x
  3. Step 3: Cross multiply
    417,866.72x = 575,623.13 × 356,412.71
  4. Step 4: Simplify right side
    417,866.72x = 205,159,395,041.80
  5. Step 5: Solve for x
    x = 205,159,395,041.80/417,866.72
  6. Step 6: Final answer
    x = 490,968.50

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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.