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Finding the Fourth Proportional to 405,448.68, 607,582.53 and 194,840.58

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Solution

The fourth proportional to 405,448.68, 607,582.53 and 194,840.58 is: 291,977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,448.68 : 607,582.53 = 194,840.58 : x
  2. Step 2: Convert to fraction form
    405,448.68/607,582.53 = 194,840.58/x
  3. Step 3: Cross multiply
    405,448.68x = 607,582.53 × 194,840.58
  4. Step 4: Simplify right side
    405,448.68x = 118,381,732,543.07
  5. Step 5: Solve for x
    x = 118,381,732,543.07/405,448.68
  6. Step 6: Final answer
    x = 291,977.11

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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.