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Finding the Fourth Proportional to 302,361,070.80, 417,035,506.22 and 228,024,764.48

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Solution

The fourth proportional to 302,361,070.80, 417,035,506.22 and 228,024,764.48 is: 314,506,172.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,361,070.80 : 417,035,506.22 = 228,024,764.48 : x
  2. Step 2: Convert to fraction form
    302,361,070.80/417,035,506.22 = 228,024,764.48/x
  3. Step 3: Cross multiply
    302,361,070.80x = 417,035,506.22 × 228,024,764.48
  4. Step 4: Simplify right side
    302,361,070.80x = 95,094,423,085,613,072
  5. Step 5: Solve for x
    x = 95,094,423,085,613,072/302,361,070.80
  6. Step 6: Final answer
    x = 314,506,172.48

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