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Finding the Fourth Proportional to 409,664.70, 614,497.05 and 241,703.10

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Solution

The fourth proportional to 409,664.70, 614,497.05 and 241,703.10 is: 362,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,664.70 : 614,497.05 = 241,703.10 : x
  2. Step 2: Convert to fraction form
    409,664.70/614,497.05 = 241,703.10/x
  3. Step 3: Cross multiply
    409,664.70x = 614,497.05 × 241,703.10
  4. Step 4: Simplify right side
    409,664.70x = 148,525,841,925.86
  5. Step 5: Solve for x
    x = 148,525,841,925.86/409,664.70
  6. Step 6: Final answer
    x = 362,554.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.