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Finding the Fourth Proportional to 306,307.64, 459,461.46 and 139,979

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Solution

The fourth proportional to 306,307.64, 459,461.46 and 139,979 is: 209,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,307.64 : 459,461.46 = 139,979 : x
  2. Step 2: Convert to fraction form
    306,307.64/459,461.46 = 139,979/x
  3. Step 3: Cross multiply
    306,307.64x = 459,461.46 × 139,979
  4. Step 4: Simplify right side
    306,307.64x = 64,314,955,709.34
  5. Step 5: Solve for x
    x = 64,314,955,709.34/306,307.64
  6. Step 6: Final answer
    x = 209,968.50

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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.