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Finding the Fourth Proportional to 651,856.80, 977,457.15 and 385,698.90

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Solution

The fourth proportional to 651,856.80, 977,457.15 and 385,698.90 is: 578,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,856.80 : 977,457.15 = 385,698.90 : x
  2. Step 2: Convert to fraction form
    651,856.80/977,457.15 = 385,698.90/x
  3. Step 3: Cross multiply
    651,856.80x = 977,457.15 × 385,698.90
  4. Step 4: Simplify right side
    651,856.80x = 377,004,147,552.14
  5. Step 5: Solve for x
    x = 377,004,147,552.14/651,856.80
  6. Step 6: Final answer
    x = 578,354.25

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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.