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Finding the Fourth Proportional to 615,823.40, 923,735.10 and 405,698.60

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Solution

The fourth proportional to 615,823.40, 923,735.10 and 405,698.60 is: 608,547.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,823.40 : 923,735.10 = 405,698.60 : x
  2. Step 2: Convert to fraction form
    615,823.40/923,735.10 = 405,698.60/x
  3. Step 3: Cross multiply
    615,823.40x = 923,735.10 × 405,698.60
  4. Step 4: Simplify right side
    615,823.40x = 374,758,036,840.86
  5. Step 5: Solve for x
    x = 374,758,036,840.86/615,823.40
  6. Step 6: Final answer
    x = 608,547.90

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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.