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Finding the Fourth Proportional to 872,114.44, 1,203,846.72 and 509,656.06

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Solution

The fourth proportional to 872,114.44, 1,203,846.72 and 509,656.06 is: 703,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    872,114.44 : 1,203,846.72 = 509,656.06 : x
  2. Step 2: Convert to fraction form
    872,114.44/1,203,846.72 = 509,656.06/x
  3. Step 3: Cross multiply
    872,114.44x = 1,203,846.72 × 509,656.06
  4. Step 4: Simplify right side
    872,114.44x = 613,547,776,159.12
  5. Step 5: Solve for x
    x = 613,547,776,159.12/872,114.44
  6. Step 6: Final answer
    x = 703,517.51

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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.