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Finding the Fourth Proportional to 527,819.54, 728,386.74 and 286,095.92

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Solution

The fourth proportional to 527,819.54, 728,386.74 and 286,095.92 is: 394,810.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,819.54 : 728,386.74 = 286,095.92 : x
  2. Step 2: Convert to fraction form
    527,819.54/728,386.74 = 286,095.92/x
  3. Step 3: Cross multiply
    527,819.54x = 728,386.74 × 286,095.92
  4. Step 4: Simplify right side
    527,819.54x = 208,388,470,854.17
  5. Step 5: Solve for x
    x = 208,388,470,854.17/527,819.54
  6. Step 6: Final answer
    x = 394,810.08

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1.5x scale

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.