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Finding the Fourth Proportional to 706,050.50, 973,679.13 and 464,538.02

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Solution

The fourth proportional to 706,050.50, 973,679.13 and 464,538.02 is: 640,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,050.50 : 973,679.13 = 464,538.02 : x
  2. Step 2: Convert to fraction form
    706,050.50/973,679.13 = 464,538.02/x
  3. Step 3: Cross multiply
    706,050.50x = 973,679.13 × 464,538.02
  4. Step 4: Simplify right side
    706,050.50x = 452,310,975,165.52
  5. Step 5: Solve for x
    x = 452,310,975,165.52/706,050.50
  6. Step 6: Final answer
    x = 640,621.28

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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.