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Finding the Fourth Proportional to 312,341.42, 470,457.80 and 290,442.26

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Solution

The fourth proportional to 312,341.42, 470,457.80 and 290,442.26 is: 437,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,341.42 : 470,457.80 = 290,442.26 : x
  2. Step 2: Convert to fraction form
    312,341.42/470,457.80 = 290,442.26/x
  3. Step 3: Cross multiply
    312,341.42x = 470,457.80 × 290,442.26
  4. Step 4: Simplify right side
    312,341.42x = 136,640,826,666.63
  5. Step 5: Solve for x
    x = 136,640,826,666.63/312,341.42
  6. Step 6: Final answer
    x = 437,472.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.