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Finding the Fourth Proportional to 553,076.09, 829,614.14 and 316,252.65

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Solution

The fourth proportional to 553,076.09, 829,614.14 and 316,252.65 is: 474,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,076.09 : 829,614.14 = 316,252.65 : x
  2. Step 2: Convert to fraction form
    553,076.09/829,614.14 = 316,252.65/x
  3. Step 3: Cross multiply
    553,076.09x = 829,614.14 × 316,252.65
  4. Step 4: Simplify right side
    553,076.09x = 262,367,668,671.21
  5. Step 5: Solve for x
    x = 262,367,668,671.21/553,076.09
  6. Step 6: Final answer
    x = 474,378.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.