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Finding the Fourth Proportional to 569,075.22, 785,315.97 and 314,422.74

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Solution

The fourth proportional to 569,075.22, 785,315.97 and 314,422.74 is: 433,899.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,075.22 : 785,315.97 = 314,422.74 : x
  2. Step 2: Convert to fraction form
    569,075.22/785,315.97 = 314,422.74/x
  3. Step 3: Cross multiply
    569,075.22x = 785,315.97 × 314,422.74
  4. Step 4: Simplify right side
    569,075.22x = 246,921,199,053.16
  5. Step 5: Solve for x
    x = 246,921,199,053.16/569,075.22
  6. Step 6: Final answer
    x = 433,899.05

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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.