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Finding the Fourth Proportional to 306,083.70, 459,125.55 and 257,094.90

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Solution

The fourth proportional to 306,083.70, 459,125.55 and 257,094.90 is: 385,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,083.70 : 459,125.55 = 257,094.90 : x
  2. Step 2: Convert to fraction form
    306,083.70/459,125.55 = 257,094.90/x
  3. Step 3: Cross multiply
    306,083.70x = 459,125.55 × 257,094.90
  4. Step 4: Simplify right side
    306,083.70x = 118,038,837,364.70
  5. Step 5: Solve for x
    x = 118,038,837,364.70/306,083.70
  6. Step 6: Final answer
    x = 385,642.35

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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.