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Finding the Fourth Proportional to 601,913.76, 830,728.08 and 347,214.24

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Solution

The fourth proportional to 601,913.76, 830,728.08 and 347,214.24 is: 479,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,913.76 : 830,728.08 = 347,214.24 : x
  2. Step 2: Convert to fraction form
    601,913.76/830,728.08 = 347,214.24/x
  3. Step 3: Cross multiply
    601,913.76x = 830,728.08 × 347,214.24
  4. Step 4: Simplify right side
    601,913.76x = 288,440,618,943.86
  5. Step 5: Solve for x
    x = 288,440,618,943.86/601,913.76
  6. Step 6: Final answer
    x = 479,205.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.