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Finding the Fourth Proportional to 477,565.81, 715,913.77 and 306,833.94

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Solution

The fourth proportional to 477,565.81, 715,913.77 and 306,833.94 is: 459,971.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,565.81 : 715,913.77 = 306,833.94 : x
  2. Step 2: Convert to fraction form
    477,565.81/715,913.77 = 306,833.94/x
  3. Step 3: Cross multiply
    477,565.81x = 715,913.77 × 306,833.94
  4. Step 4: Simplify right side
    477,565.81x = 219,666,642,749.35
  5. Step 5: Solve for x
    x = 219,666,642,749.35/477,565.81
  6. Step 6: Final answer
    x = 459,971.46

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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.