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Finding the Fourth Proportional to 459,276, 633,860.28 and 258,072

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Solution

The fourth proportional to 459,276, 633,860.28 and 258,072 is: 356,172.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,276 : 633,860.28 = 258,072 : x
  2. Step 2: Convert to fraction form
    459,276/633,860.28 = 258,072/x
  3. Step 3: Cross multiply
    459,276x = 633,860.28 × 258,072
  4. Step 4: Simplify right side
    459,276x = 163,581,590,180.16
  5. Step 5: Solve for x
    x = 163,581,590,180.16/459,276
  6. Step 6: Final answer
    x = 356,172.74

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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.