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Finding the Fourth Proportional to 511,666.24, 706,104 and 282,232.40

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Solution

The fourth proportional to 511,666.24, 706,104 and 282,232.40 is: 389,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,666.24 : 706,104 = 282,232.40 : x
  2. Step 2: Convert to fraction form
    511,666.24/706,104 = 282,232.40/x
  3. Step 3: Cross multiply
    511,666.24x = 706,104 × 282,232.40
  4. Step 4: Simplify right side
    511,666.24x = 199,285,426,569.60
  5. Step 5: Solve for x
    x = 199,285,426,569.60/511,666.24
  6. Step 6: Final answer
    x = 389,483.24

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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.