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Finding the Fourth Proportional to 523,261.67, 722,106.05 and 296,889.35

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Solution

The fourth proportional to 523,261.67, 722,106.05 and 296,889.35 is: 409,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,261.67 : 722,106.05 = 296,889.35 : x
  2. Step 2: Convert to fraction form
    523,261.67/722,106.05 = 296,889.35/x
  3. Step 3: Cross multiply
    523,261.67x = 722,106.05 × 296,889.35
  4. Step 4: Simplify right side
    523,261.67x = 214,385,590,720.59
  5. Step 5: Solve for x
    x = 214,385,590,720.59/523,261.67
  6. Step 6: Final answer
    x = 409,710.10

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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.