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Finding the Fourth Proportional to 556,106.01, 767,451.90 and 314,398.77

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Solution

The fourth proportional to 556,106.01, 767,451.90 and 314,398.77 is: 433,884.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,106.01 : 767,451.90 = 314,398.77 : x
  2. Step 2: Convert to fraction form
    556,106.01/767,451.90 = 314,398.77/x
  3. Step 3: Cross multiply
    556,106.01x = 767,451.90 × 314,398.77
  4. Step 4: Simplify right side
    556,106.01x = 241,285,933,394.16
  5. Step 5: Solve for x
    x = 241,285,933,394.16/556,106.01
  6. Step 6: Final answer
    x = 433,884.78

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1.5x scale

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.