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Finding the Fourth Proportional to 377,641.86, 521,158.95 and 205,574.00

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Solution

The fourth proportional to 377,641.86, 521,158.95 and 205,574.00 is: 283,699.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,641.86 : 521,158.95 = 205,574.00 : x
  2. Step 2: Convert to fraction form
    377,641.86/521,158.95 = 205,574.00/x
  3. Step 3: Cross multiply
    377,641.86x = 521,158.95 × 205,574.00
  4. Step 4: Simplify right side
    377,641.86x = 107,136,727,381.51
  5. Step 5: Solve for x
    x = 107,136,727,381.51/377,641.86
  6. Step 6: Final answer
    x = 283,699.29

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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.