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Finding the Fourth Proportional to 569,175.84, 785,431.76 and 314,510.63

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Solution

The fourth proportional to 569,175.84, 785,431.76 and 314,510.63 is: 434,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,175.84 : 785,431.76 = 314,510.63 : x
  2. Step 2: Convert to fraction form
    569,175.84/785,431.76 = 314,510.63/x
  3. Step 3: Cross multiply
    569,175.84x = 785,431.76 × 314,510.63
  4. Step 4: Simplify right side
    569,175.84x = 247,026,632,159.90
  5. Step 5: Solve for x
    x = 247,026,632,159.90/569,175.84
  6. Step 6: Final answer
    x = 434,007.59

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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.