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Finding the Fourth Proportional to 569,486.13, 785,907.26 and 314,853.72

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Solution

The fourth proportional to 569,486.13, 785,907.26 and 314,853.72 is: 434,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,486.13 : 785,907.26 = 314,853.72 : x
  2. Step 2: Convert to fraction form
    569,486.13/785,907.26 = 314,853.72/x
  3. Step 3: Cross multiply
    569,486.13x = 785,907.26 × 314,853.72
  4. Step 4: Simplify right side
    569,486.13x = 247,445,824,386.01
  5. Step 5: Solve for x
    x = 247,445,824,386.01/569,486.13
  6. Step 6: Final answer
    x = 434,507.20

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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.