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Finding the Fourth Proportional to 306,779.60, 460,174.16 and 96,417.54

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Solution

The fourth proportional to 306,779.60, 460,174.16 and 96,417.54 is: 144,627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,779.60 : 460,174.16 = 96,417.54 : x
  2. Step 2: Convert to fraction form
    306,779.60/460,174.16 = 96,417.54/x
  3. Step 3: Cross multiply
    306,779.60x = 460,174.16 × 96,417.54
  4. Step 4: Simplify right side
    306,779.60x = 44,368,860,478.77
  5. Step 5: Solve for x
    x = 44,368,860,478.77/306,779.60
  6. Step 6: Final answer
    x = 144,627.81

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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.