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Finding the Fourth Proportional to 466,054.80, 697,475.88 and 286,020.72

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Solution

The fourth proportional to 466,054.80, 697,475.88 and 286,020.72 is: 428,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,054.80 : 697,475.88 = 286,020.72 : x
  2. Step 2: Convert to fraction form
    466,054.80/697,475.88 = 286,020.72/x
  3. Step 3: Cross multiply
    466,054.80x = 697,475.88 × 286,020.72
  4. Step 4: Simplify right side
    466,054.80x = 199,492,553,380.23
  5. Step 5: Solve for x
    x = 199,492,553,380.23/466,054.80
  6. Step 6: Final answer
    x = 428,045.27

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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.