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Finding the Fourth Proportional to 463,967.02, 640,319.43 and 260,052.58

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Solution

The fourth proportional to 463,967.02, 640,319.43 and 260,052.58 is: 358,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,967.02 : 640,319.43 = 260,052.58 : x
  2. Step 2: Convert to fraction form
    463,967.02/640,319.43 = 260,052.58/x
  3. Step 3: Cross multiply
    463,967.02x = 640,319.43 × 260,052.58
  4. Step 4: Simplify right side
    463,967.02x = 166,516,719,795.63
  5. Step 5: Solve for x
    x = 166,516,719,795.63/463,967.02
  6. Step 6: Final answer
    x = 358,897.75

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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.