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Finding the Fourth Proportional to 292,014.59, 402,980.09 and 157,878.59

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Solution

The fourth proportional to 292,014.59, 402,980.09 and 157,878.59 is: 217,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,014.59 : 402,980.09 = 157,878.59 : x
  2. Step 2: Convert to fraction form
    292,014.59/402,980.09 = 157,878.59/x
  3. Step 3: Cross multiply
    292,014.59x = 402,980.09 × 157,878.59
  4. Step 4: Simplify right side
    292,014.59x = 63,621,925,602.98
  5. Step 5: Solve for x
    x = 63,621,925,602.98/292,014.59
  6. Step 6: Final answer
    x = 217,872.42

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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.