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Finding the Fourth Proportional to 556,023.35, 767,303.88 and 314,297.44

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Solution

The fourth proportional to 556,023.35, 767,303.88 and 314,297.44 is: 433,725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,023.35 : 767,303.88 = 314,297.44 : x
  2. Step 2: Convert to fraction form
    556,023.35/767,303.88 = 314,297.44/x
  3. Step 3: Cross multiply
    556,023.35x = 767,303.88 × 314,297.44
  4. Step 4: Simplify right side
    556,023.35x = 241,161,641,349.55
  5. Step 5: Solve for x
    x = 241,161,641,349.55/556,023.35
  6. Step 6: Final answer
    x = 433,725.74

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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.