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Finding the Fourth Proportional to 286,525.41, 429,802.35 and 109,046.17

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Solution

The fourth proportional to 286,525.41, 429,802.35 and 109,046.17 is: 163,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,525.41 : 429,802.35 = 109,046.17 : x
  2. Step 2: Convert to fraction form
    286,525.41/429,802.35 = 109,046.17/x
  3. Step 3: Cross multiply
    286,525.41x = 429,802.35 × 109,046.17
  4. Step 4: Simplify right side
    286,525.41x = 46,868,300,124.50
  5. Step 5: Solve for x
    x = 46,868,300,124.50/286,525.41
  6. Step 6: Final answer
    x = 163,574.67

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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.