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Finding the Fourth Proportional to 506,158.74, 758,859.89 and 306,431.01

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Solution

The fourth proportional to 506,158.74, 758,859.89 and 306,431.01 is: 459,417.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,158.74 : 758,859.89 = 306,431.01 : x
  2. Step 2: Convert to fraction form
    506,158.74/758,859.89 = 306,431.01/x
  3. Step 3: Cross multiply
    506,158.74x = 758,859.89 × 306,431.01
  4. Step 4: Simplify right side
    506,158.74x = 232,538,201,009.03
  5. Step 5: Solve for x
    x = 232,538,201,009.03/506,158.74
  6. Step 6: Final answer
    x = 459,417.54

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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.