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Finding the Fourth Proportional to 537,817.32, 805,656.78 and 493,727.40

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Solution

The fourth proportional to 537,817.32, 805,656.78 and 493,727.40 is: 739,609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,817.32 : 805,656.78 = 493,727.40 : x
  2. Step 2: Convert to fraction form
    537,817.32/805,656.78 = 493,727.40/x
  3. Step 3: Cross multiply
    537,817.32x = 805,656.78 × 493,727.40
  4. Step 4: Simplify right side
    537,817.32x = 397,774,827,281.77
  5. Step 5: Solve for x
    x = 397,774,827,281.77/537,817.32
  6. Step 6: Final answer
    x = 739,609.55

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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.