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Finding the Fourth Proportional to 511,327.40, 705,681.71 and 382,041.53

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Solution

The fourth proportional to 511,327.40, 705,681.71 and 382,041.53 is: 527,254.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,327.40 : 705,681.71 = 382,041.53 : x
  2. Step 2: Convert to fraction form
    511,327.40/705,681.71 = 382,041.53/x
  3. Step 3: Cross multiply
    511,327.40x = 705,681.71 × 382,041.53
  4. Step 4: Simplify right side
    511,327.40x = 269,599,718,821.76
  5. Step 5: Solve for x
    x = 269,599,718,821.76/511,327.40
  6. Step 6: Final answer
    x = 527,254.60

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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.