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Finding the Fourth Proportional to 506,802.60, 760,106.70 and 151,828.20

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Solution

The fourth proportional to 506,802.60, 760,106.70 and 151,828.20 is: 227,713.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,802.60 : 760,106.70 = 151,828.20 : x
  2. Step 2: Convert to fraction form
    506,802.60/760,106.70 = 151,828.20/x
  3. Step 3: Cross multiply
    506,802.60x = 760,106.70 × 151,828.20
  4. Step 4: Simplify right side
    506,802.60x = 115,405,632,068.94
  5. Step 5: Solve for x
    x = 115,405,632,068.94/506,802.60
  6. Step 6: Final answer
    x = 227,713.18

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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.