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Finding the Fourth Proportional to 527,970.12, 728,604.18 and 286,253.16

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Solution

The fourth proportional to 527,970.12, 728,604.18 and 286,253.16 is: 395,032.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,970.12 : 728,604.18 = 286,253.16 : x
  2. Step 2: Convert to fraction form
    527,970.12/728,604.18 = 286,253.16/x
  3. Step 3: Cross multiply
    527,970.12x = 728,604.18 × 286,253.16
  4. Step 4: Simplify right side
    527,970.12x = 208,565,248,914.21
  5. Step 5: Solve for x
    x = 208,565,248,914.21/527,970.12
  6. Step 6: Final answer
    x = 395,032.30

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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.