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Finding the Fourth Proportional to 456,258.01, 684,328.68 and 189,968.89

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Solution

The fourth proportional to 456,258.01, 684,328.68 and 189,968.89 is: 284,929.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,258.01 : 684,328.68 = 189,968.89 : x
  2. Step 2: Convert to fraction form
    456,258.01/684,328.68 = 189,968.89/x
  3. Step 3: Cross multiply
    456,258.01x = 684,328.68 × 189,968.89
  4. Step 4: Simplify right side
    456,258.01x = 130,001,159,734.77
  5. Step 5: Solve for x
    x = 130,001,159,734.77/456,258.01
  6. Step 6: Final answer
    x = 284,929.05

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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.