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Finding the Fourth Proportional to 507,264.16, 760,838.64 and 133,316.32

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Solution

The fourth proportional to 507,264.16, 760,838.64 and 133,316.32 is: 199,959.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,264.16 : 760,838.64 = 133,316.32 : x
  2. Step 2: Convert to fraction form
    507,264.16/760,838.64 = 133,316.32/x
  3. Step 3: Cross multiply
    507,264.16x = 760,838.64 × 133,316.32
  4. Step 4: Simplify right side
    507,264.16x = 101,432,207,598.61
  5. Step 5: Solve for x
    x = 101,432,207,598.61/507,264.16
  6. Step 6: Final answer
    x = 199,959.34

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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.