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Finding the Fourth Proportional to 478,698.72, 718,048.08 and 146,271.84

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Solution

The fourth proportional to 478,698.72, 718,048.08 and 146,271.84 is: 219,407.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,698.72 : 718,048.08 = 146,271.84 : x
  2. Step 2: Convert to fraction form
    478,698.72/718,048.08 = 146,271.84/x
  3. Step 3: Cross multiply
    478,698.72x = 718,048.08 × 146,271.84
  4. Step 4: Simplify right side
    478,698.72x = 105,030,213,870.07
  5. Step 5: Solve for x
    x = 105,030,213,870.07/478,698.72
  6. Step 6: Final answer
    x = 219,407.76

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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.