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Finding the Fourth Proportional to 510,038.66, 765,030.31 and 155,025

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Solution

The fourth proportional to 510,038.66, 765,030.31 and 155,025 is: 232,529.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,038.66 : 765,030.31 = 155,025 : x
  2. Step 2: Convert to fraction form
    510,038.66/765,030.31 = 155,025/x
  3. Step 3: Cross multiply
    510,038.66x = 765,030.31 × 155,025
  4. Step 4: Simplify right side
    510,038.66x = 118,598,823,420.19
  5. Step 5: Solve for x
    x = 118,598,823,420.19/510,038.66
  6. Step 6: Final answer
    x = 232,529.08

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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.