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Finding the Fourth Proportional to 706,315.75, 974,710.80 and 384,025.93

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Solution

The fourth proportional to 706,315.75, 974,710.80 and 384,025.93 is: 529,953.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,315.75 : 974,710.80 = 384,025.93 : x
  2. Step 2: Convert to fraction form
    706,315.75/974,710.80 = 384,025.93/x
  3. Step 3: Cross multiply
    706,315.75x = 974,710.80 × 384,025.93
  4. Step 4: Simplify right side
    706,315.75x = 374,314,219,014.27
  5. Step 5: Solve for x
    x = 374,314,219,014.27/706,315.75
  6. Step 6: Final answer
    x = 529,953.10

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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.