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Finding the Fourth Proportional to 527,826.77, 728,401.47 and 286,109.29

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Solution

The fourth proportional to 527,826.77, 728,401.47 and 286,109.29 is: 394,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,826.77 : 728,401.47 = 286,109.29 : x
  2. Step 2: Convert to fraction form
    527,826.77/728,401.47 = 286,109.29/x
  3. Step 3: Cross multiply
    527,826.77x = 728,401.47 × 286,109.29
  4. Step 4: Simplify right side
    527,826.77x = 208,402,423,774.65
  5. Step 5: Solve for x
    x = 208,402,423,774.65/527,826.77
  6. Step 6: Final answer
    x = 394,831.10

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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.