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Finding the Fourth Proportional to 306,564.66, 459,866.40 and 96,210.90

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Solution

The fourth proportional to 306,564.66, 459,866.40 and 96,210.90 is: 144,322.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,564.66 : 459,866.40 = 96,210.90 : x
  2. Step 2: Convert to fraction form
    306,564.66/459,866.40 = 96,210.90/x
  3. Step 3: Cross multiply
    306,564.66x = 459,866.40 × 96,210.90
  4. Step 4: Simplify right side
    306,564.66x = 44,244,160,223.76
  5. Step 5: Solve for x
    x = 44,244,160,223.76/306,564.66
  6. Step 6: Final answer
    x = 144,322.44

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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.