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Finding the Fourth Proportional to 507,575, 761,362.50 and 175,151

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Solution

The fourth proportional to 507,575, 761,362.50 and 175,151 is: 262,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,575 : 761,362.50 = 175,151 : x
  2. Step 2: Convert to fraction form
    507,575/761,362.50 = 175,151/x
  3. Step 3: Cross multiply
    507,575x = 761,362.50 × 175,151
  4. Step 4: Simplify right side
    507,575x = 133,353,403,237.50
  5. Step 5: Solve for x
    x = 133,353,403,237.50/507,575
  6. Step 6: Final answer
    x = 262,726.50

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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.