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Finding the Fourth Proportional to 530,044.09, 731,457.23 and 300,646.01

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Solution

The fourth proportional to 530,044.09, 731,457.23 and 300,646.01 is: 414,889.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,044.09 : 731,457.23 = 300,646.01 : x
  2. Step 2: Convert to fraction form
    530,044.09/731,457.23 = 300,646.01/x
  3. Step 3: Cross multiply
    530,044.09x = 731,457.23 × 300,646.01
  4. Step 4: Simplify right side
    530,044.09x = 219,909,698,010.57
  5. Step 5: Solve for x
    x = 219,909,698,010.57/530,044.09
  6. Step 6: Final answer
    x = 414,889.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.