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Finding the Fourth Proportional to 507,170.66, 760,830.16 and 152,212.74

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Solution

The fourth proportional to 507,170.66, 760,830.16 and 152,212.74 is: 228,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,170.66 : 760,830.16 = 152,212.74 : x
  2. Step 2: Convert to fraction form
    507,170.66/760,830.16 = 152,212.74/x
  3. Step 3: Cross multiply
    507,170.66x = 760,830.16 × 152,212.74
  4. Step 4: Simplify right side
    507,170.66x = 115,808,043,328.24
  5. Step 5: Solve for x
    x = 115,808,043,328.24/507,170.66
  6. Step 6: Final answer
    x = 228,341.37

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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.