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Finding the Fourth Proportional to 507,276.65, 760,989.69 and 152,319.26

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Solution

The fourth proportional to 507,276.65, 760,989.69 and 152,319.26 is: 228,501.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,276.65 : 760,989.69 = 152,319.26 : x
  2. Step 2: Convert to fraction form
    507,276.65/760,989.69 = 152,319.26/x
  3. Step 3: Cross multiply
    507,276.65x = 760,989.69 × 152,319.26
  4. Step 4: Simplify right side
    507,276.65x = 115,913,382,643.48
  5. Step 5: Solve for x
    x = 115,913,382,643.48/507,276.65
  6. Step 6: Final answer
    x = 228,501.32

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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.