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Finding the Fourth Proportional to 307,779.30, 460,618.65 and 257,915.70

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Solution

The fourth proportional to 307,779.30, 460,618.65 and 257,915.70 is: 385,993.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,779.30 : 460,618.65 = 257,915.70 : x
  2. Step 2: Convert to fraction form
    307,779.30/460,618.65 = 257,915.70/x
  3. Step 3: Cross multiply
    307,779.30x = 460,618.65 × 257,915.70
  4. Step 4: Simplify right side
    307,779.30x = 118,800,781,547.81
  5. Step 5: Solve for x
    x = 118,800,781,547.81/307,779.30
  6. Step 6: Final answer
    x = 385,993.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.