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Finding the Fourth Proportional to 340,048.60, 510,072.90 and 319,053.40

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Solution

The fourth proportional to 340,048.60, 510,072.90 and 319,053.40 is: 478,580.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,048.60 : 510,072.90 = 319,053.40 : x
  2. Step 2: Convert to fraction form
    340,048.60/510,072.90 = 319,053.40/x
  3. Step 3: Cross multiply
    340,048.60x = 510,072.90 × 319,053.40
  4. Step 4: Simplify right side
    340,048.60x = 162,740,492,992.86
  5. Step 5: Solve for x
    x = 162,740,492,992.86/340,048.60
  6. Step 6: Final answer
    x = 478,580.10

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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.