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Finding the Fourth Proportional to 480,281.12, 720,421.68 and 184,724

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Solution

The fourth proportional to 480,281.12, 720,421.68 and 184,724 is: 277,086

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,281.12 : 720,421.68 = 184,724 : x
  2. Step 2: Convert to fraction form
    480,281.12/720,421.68 = 184,724/x
  3. Step 3: Cross multiply
    480,281.12x = 720,421.68 × 184,724
  4. Step 4: Simplify right side
    480,281.12x = 133,079,174,416.32
  5. Step 5: Solve for x
    x = 133,079,174,416.32/480,281.12
  6. Step 6: Final answer
    x = 277,086

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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.