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Finding the Fourth Proportional to 464,294.64, 697,258.44 and 457,646.16

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Solution

The fourth proportional to 464,294.64, 697,258.44 and 457,646.16 is: 687,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,294.64 : 697,258.44 = 457,646.16 : x
  2. Step 2: Convert to fraction form
    464,294.64/697,258.44 = 457,646.16/x
  3. Step 3: Cross multiply
    464,294.64x = 697,258.44 × 457,646.16
  4. Step 4: Simplify right side
    464,294.64x = 319,097,647,593.59
  5. Step 5: Solve for x
    x = 319,097,647,593.59/464,294.64
  6. Step 6: Final answer
    x = 687,274.03

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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.