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Finding the Fourth Proportional to 527,595.16, 728,065.50 and 301,196.44

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Solution

The fourth proportional to 527,595.16, 728,065.50 and 301,196.44 is: 415,642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,595.16 : 728,065.50 = 301,196.44 : x
  2. Step 2: Convert to fraction form
    527,595.16/728,065.50 = 301,196.44/x
  3. Step 3: Cross multiply
    527,595.16x = 728,065.50 × 301,196.44
  4. Step 4: Simplify right side
    527,595.16x = 219,290,736,686.82
  5. Step 5: Solve for x
    x = 219,290,736,686.82/527,595.16
  6. Step 6: Final answer
    x = 415,642.06

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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.