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Finding the Fourth Proportional to 507,166.16, 760,823.40 and 152,208.24

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Solution

The fourth proportional to 507,166.16, 760,823.40 and 152,208.24 is: 228,334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,166.16 : 760,823.40 = 152,208.24 : x
  2. Step 2: Convert to fraction form
    507,166.16/760,823.40 = 152,208.24/x
  3. Step 3: Cross multiply
    507,166.16x = 760,823.40 × 152,208.24
  4. Step 4: Simplify right side
    507,166.16x = 115,803,590,664.82
  5. Step 5: Solve for x
    x = 115,803,590,664.82/507,166.16
  6. Step 6: Final answer
    x = 228,334.62

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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.