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Finding the Fourth Proportional to 459,969.84, 634,753.53 and 256,017.51

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Solution

The fourth proportional to 459,969.84, 634,753.53 and 256,017.51 is: 353,301.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,969.84 : 634,753.53 = 256,017.51 : x
  2. Step 2: Convert to fraction form
    459,969.84/634,753.53 = 256,017.51/x
  3. Step 3: Cross multiply
    459,969.84x = 634,753.53 × 256,017.51
  4. Step 4: Simplify right side
    459,969.84x = 162,508,018,214.31
  5. Step 5: Solve for x
    x = 162,508,018,214.31/459,969.84
  6. Step 6: Final answer
    x = 353,301.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.