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Finding the Fourth Proportional to 553,451.16, 830,293.38 and 179,445

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Solution

The fourth proportional to 553,451.16, 830,293.38 and 179,445 is: 269,205.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,451.16 : 830,293.38 = 179,445 : x
  2. Step 2: Convert to fraction form
    553,451.16/830,293.38 = 179,445/x
  3. Step 3: Cross multiply
    553,451.16x = 830,293.38 × 179,445
  4. Step 4: Simplify right side
    553,451.16x = 148,991,995,574.10
  5. Step 5: Solve for x
    x = 148,991,995,574.10/553,451.16
  6. Step 6: Final answer
    x = 269,205.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.