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Finding the Fourth Proportional to 506,270.42, 759,030.69 and 306,543.86

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Solution

The fourth proportional to 506,270.42, 759,030.69 and 306,543.86 is: 459,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,270.42 : 759,030.69 = 306,543.86 : x
  2. Step 2: Convert to fraction form
    506,270.42/759,030.69 = 306,543.86/x
  3. Step 3: Cross multiply
    506,270.42x = 759,030.69 × 306,543.86
  4. Step 4: Simplify right side
    506,270.42x = 232,676,197,571.06
  5. Step 5: Solve for x
    x = 232,676,197,571.06/506,270.42
  6. Step 6: Final answer
    x = 459,588.77

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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.