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Finding the Fourth Proportional to 458,743.68, 633,056.04 and 254,783.16

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Solution

The fourth proportional to 458,743.68, 633,056.04 and 254,783.16 is: 351,595.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,743.68 : 633,056.04 = 254,783.16 : x
  2. Step 2: Convert to fraction form
    458,743.68/633,056.04 = 254,783.16/x
  3. Step 3: Cross multiply
    458,743.68x = 633,056.04 × 254,783.16
  4. Step 4: Simplify right side
    458,743.68x = 161,292,018,328.29
  5. Step 5: Solve for x
    x = 161,292,018,328.29/458,743.68
  6. Step 6: Final answer
    x = 351,595.07

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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.