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Finding the Fourth Proportional to 507,314.91, 760,953.91 and 152,319.70

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Solution

The fourth proportional to 507,314.91, 760,953.91 and 152,319.70 is: 228,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,314.91 : 760,953.91 = 152,319.70 : x
  2. Step 2: Convert to fraction form
    507,314.91/760,953.91 = 152,319.70/x
  3. Step 3: Cross multiply
    507,314.91x = 760,953.91 × 152,319.70
  4. Step 4: Simplify right side
    507,314.91x = 115,908,272,806.61
  5. Step 5: Solve for x
    x = 115,908,272,806.61/507,314.91
  6. Step 6: Final answer
    x = 228,474.01

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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.