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Finding the Fourth Proportional to 497,114.56, 685,783.56 and 336,025.84

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Solution

The fourth proportional to 497,114.56, 685,783.56 and 336,025.84 is: 463,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,114.56 : 685,783.56 = 336,025.84 : x
  2. Step 2: Convert to fraction form
    497,114.56/685,783.56 = 336,025.84/x
  3. Step 3: Cross multiply
    497,114.56x = 685,783.56 × 336,025.84
  4. Step 4: Simplify right side
    497,114.56x = 230,440,996,807.19
  5. Step 5: Solve for x
    x = 230,440,996,807.19/497,114.56
  6. Step 6: Final answer
    x = 463,557.13

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1.5x scale

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.