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Finding the Fourth Proportional to 405,233.04, 607,306.22 and 315,384.25

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Solution

The fourth proportional to 405,233.04, 607,306.22 and 315,384.25 is: 472,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,233.04 : 607,306.22 = 315,384.25 : x
  2. Step 2: Convert to fraction form
    405,233.04/607,306.22 = 315,384.25/x
  3. Step 3: Cross multiply
    405,233.04x = 607,306.22 × 315,384.25
  4. Step 4: Simplify right side
    405,233.04x = 191,534,813,678.50
  5. Step 5: Solve for x
    x = 191,534,813,678.50/405,233.04
  6. Step 6: Final answer
    x = 472,653.50

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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.