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Finding the Fourth Proportional to 506,459.86, 759,409.34 and 207,150.64

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Solution

The fourth proportional to 506,459.86, 759,409.34 and 207,150.64 is: 310,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,459.86 : 759,409.34 = 207,150.64 : x
  2. Step 2: Convert to fraction form
    506,459.86/759,409.34 = 207,150.64/x
  3. Step 3: Cross multiply
    506,459.86x = 759,409.34 × 207,150.64
  4. Step 4: Simplify right side
    506,459.86x = 157,312,130,802.98
  5. Step 5: Solve for x
    x = 157,312,130,802.98/506,459.86
  6. Step 6: Final answer
    x = 310,611.25

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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.