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Finding the Fourth Proportional to 507,277.40, 760,990.82 and 152,320.01

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Solution

The fourth proportional to 507,277.40, 760,990.82 and 152,320.01 is: 228,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,277.40 : 760,990.82 = 152,320.01 : x
  2. Step 2: Convert to fraction form
    507,277.40/760,990.82 = 152,320.01/x
  3. Step 3: Cross multiply
    507,277.40x = 760,990.82 × 152,320.01
  4. Step 4: Simplify right side
    507,277.40x = 115,914,129,312.31
  5. Step 5: Solve for x
    x = 115,914,129,312.31/507,277.40
  6. Step 6: Final answer
    x = 228,502.45

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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.