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Finding the Fourth Proportional to 405,087.84, 607,762.98 and 194,742.18

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Solution

The fourth proportional to 405,087.84, 607,762.98 and 194,742.18 is: 292,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,087.84 : 607,762.98 = 194,742.18 : x
  2. Step 2: Convert to fraction form
    405,087.84/607,762.98 = 194,742.18/x
  3. Step 3: Cross multiply
    405,087.84x = 607,762.98 × 194,742.18
  4. Step 4: Simplify right side
    405,087.84x = 118,357,087,648.50
  5. Step 5: Solve for x
    x = 118,357,087,648.50/405,087.84
  6. Step 6: Final answer
    x = 292,176.35

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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.