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Finding the Fourth Proportional to 473,697.42, 709,272.84 and 360,840

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Solution

The fourth proportional to 473,697.42, 709,272.84 and 360,840 is: 540,290.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,697.42 : 709,272.84 = 360,840 : x
  2. Step 2: Convert to fraction form
    473,697.42/709,272.84 = 360,840/x
  3. Step 3: Cross multiply
    473,697.42x = 709,272.84 × 360,840
  4. Step 4: Simplify right side
    473,697.42x = 255,934,011,585.60
  5. Step 5: Solve for x
    x = 255,934,011,585.60/473,697.42
  6. Step 6: Final answer
    x = 540,290.07

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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.