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Finding the Fourth Proportional to 314,444.89, 433,944.51 and 176,648.00

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Solution

The fourth proportional to 314,444.89, 433,944.51 and 176,648.00 is: 243,780.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,444.89 : 433,944.51 = 176,648.00 : x
  2. Step 2: Convert to fraction form
    314,444.89/433,944.51 = 176,648.00/x
  3. Step 3: Cross multiply
    314,444.89x = 433,944.51 × 176,648.00
  4. Step 4: Simplify right side
    314,444.89x = 76,655,426,749.52
  5. Step 5: Solve for x
    x = 76,655,426,749.52/314,444.89
  6. Step 6: Final answer
    x = 243,780.16

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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.