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Finding the Fourth Proportional to 527,303.96, 727,743.40 and 297,870.91

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Solution

The fourth proportional to 527,303.96, 727,743.40 and 297,870.91 is: 411,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,303.96 : 727,743.40 = 297,870.91 : x
  2. Step 2: Convert to fraction form
    527,303.96/727,743.40 = 297,870.91/x
  3. Step 3: Cross multiply
    527,303.96x = 727,743.40 × 297,870.91
  4. Step 4: Simplify right side
    527,303.96x = 216,773,588,804.49
  5. Step 5: Solve for x
    x = 216,773,588,804.49/527,303.96
  6. Step 6: Final answer
    x = 411,097.97

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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.