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Finding the Fourth Proportional to 464,097.40, 640,484.01 and 260,148.41

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Solution

The fourth proportional to 464,097.40, 640,484.01 and 260,148.41 is: 359,021.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,097.40 : 640,484.01 = 260,148.41 : x
  2. Step 2: Convert to fraction form
    464,097.40/640,484.01 = 260,148.41/x
  3. Step 3: Cross multiply
    464,097.40x = 640,484.01 × 260,148.41
  4. Step 4: Simplify right side
    464,097.40x = 166,620,896,031.32
  5. Step 5: Solve for x
    x = 166,620,896,031.32/464,097.40
  6. Step 6: Final answer
    x = 359,021.40

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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.