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Finding the Fourth Proportional to 553,008.16, 829,512.24 and 316,184.77

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Solution

The fourth proportional to 553,008.16, 829,512.24 and 316,184.77 is: 474,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,008.16 : 829,512.24 = 316,184.77 : x
  2. Step 2: Convert to fraction form
    553,008.16/829,512.24 = 316,184.77/x
  3. Step 3: Cross multiply
    553,008.16x = 829,512.24 × 316,184.77
  4. Step 4: Simplify right side
    553,008.16x = 262,279,133,780.32
  5. Step 5: Solve for x
    x = 262,279,133,780.32/553,008.16
  6. Step 6: Final answer
    x = 474,277.15

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Similar ratio
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1.5x scale

Why These Related Problems?

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