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Finding the Fourth Proportional to 464,038.69, 640,362.72 and 270,434.05

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Solution

The fourth proportional to 464,038.69, 640,362.72 and 270,434.05 is: 373,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,038.69 : 640,362.72 = 270,434.05 : x
  2. Step 2: Convert to fraction form
    464,038.69/640,362.72 = 270,434.05/x
  3. Step 3: Cross multiply
    464,038.69x = 640,362.72 × 270,434.05
  4. Step 4: Simplify right side
    464,038.69x = 173,175,883,838.62
  5. Step 5: Solve for x
    x = 173,175,883,838.62/464,038.69
  6. Step 6: Final answer
    x = 373,192.77

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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.