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Finding the Fourth Proportional to 556,488.70, 767,954.43 and 314,766.07

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Solution

The fourth proportional to 556,488.70, 767,954.43 and 314,766.07 is: 434,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,488.70 : 767,954.43 = 314,766.07 : x
  2. Step 2: Convert to fraction form
    556,488.70/767,954.43 = 314,766.07/x
  3. Step 3: Cross multiply
    556,488.70x = 767,954.43 × 314,766.07
  4. Step 4: Simplify right side
    556,488.70x = 241,725,997,870.19
  5. Step 5: Solve for x
    x = 241,725,997,870.19/556,488.70
  6. Step 6: Final answer
    x = 434,377.19

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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.