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Finding the Fourth Proportional to 507,312.96, 760,308.06 and 282,664.32

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Solution

The fourth proportional to 507,312.96, 760,308.06 and 282,664.32 is: 423,627.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,312.96 : 760,308.06 = 282,664.32 : x
  2. Step 2: Convert to fraction form
    507,312.96/760,308.06 = 282,664.32/x
  3. Step 3: Cross multiply
    507,312.96x = 760,308.06 × 282,664.32
  4. Step 4: Simplify right side
    507,312.96x = 214,911,960,770.42
  5. Step 5: Solve for x
    x = 214,911,960,770.42/507,312.96
  6. Step 6: Final answer
    x = 423,627.97

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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.