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Finding the Fourth Proportional to 508,368.78, 701,547.75 and 293,503.32

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Solution

The fourth proportional to 508,368.78, 701,547.75 and 293,503.32 is: 405,033.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,368.78 : 701,547.75 = 293,503.32 : x
  2. Step 2: Convert to fraction form
    508,368.78/701,547.75 = 293,503.32/x
  3. Step 3: Cross multiply
    508,368.78x = 701,547.75 × 293,503.32
  4. Step 4: Simplify right side
    508,368.78x = 205,906,593,763.53
  5. Step 5: Solve for x
    x = 205,906,593,763.53/508,368.78
  6. Step 6: Final answer
    x = 405,033.91

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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.