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Finding the Fourth Proportional to 511,916.04, 706,443.28 and 282,473.14

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Solution

The fourth proportional to 511,916.04, 706,443.28 and 282,473.14 is: 389,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,916.04 : 706,443.28 = 282,473.14 : x
  2. Step 2: Convert to fraction form
    511,916.04/706,443.28 = 282,473.14/x
  3. Step 3: Cross multiply
    511,916.04x = 706,443.28 × 282,473.14
  4. Step 4: Simplify right side
    511,916.04x = 199,551,251,533.50
  5. Step 5: Solve for x
    x = 199,551,251,533.50/511,916.04
  6. Step 6: Final answer
    x = 389,812.46

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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.