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Finding the Fourth Proportional to 553,515.66, 830,390.13 and 179,509.50

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Solution

The fourth proportional to 553,515.66, 830,390.13 and 179,509.50 is: 269,302.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,515.66 : 830,390.13 = 179,509.50 : x
  2. Step 2: Convert to fraction form
    553,515.66/830,390.13 = 179,509.50/x
  3. Step 3: Cross multiply
    553,515.66x = 830,390.13 × 179,509.50
  4. Step 4: Simplify right side
    553,515.66x = 149,062,917,041.24
  5. Step 5: Solve for x
    x = 149,062,917,041.24/553,515.66
  6. Step 6: Final answer
    x = 269,302.08

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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.