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Finding the Fourth Proportional to 549,076.40, 824,075.40 and 268,833.20

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Solution

The fourth proportional to 549,076.40, 824,075.40 and 268,833.20 is: 403,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,076.40 : 824,075.40 = 268,833.20 : x
  2. Step 2: Convert to fraction form
    549,076.40/824,075.40 = 268,833.20/x
  3. Step 3: Cross multiply
    549,076.40x = 824,075.40 × 268,833.20
  4. Step 4: Simplify right side
    549,076.40x = 221,538,826,823.28
  5. Step 5: Solve for x
    x = 221,538,826,823.28/549,076.40
  6. Step 6: Final answer
    x = 403,475.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.