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Finding the Fourth Proportional to 556,835, 768,432.84 and 302,186.24

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Solution

The fourth proportional to 556,835, 768,432.84 and 302,186.24 is: 417,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,835 : 768,432.84 = 302,186.24 : x
  2. Step 2: Convert to fraction form
    556,835/768,432.84 = 302,186.24/x
  3. Step 3: Cross multiply
    556,835x = 768,432.84 × 302,186.24
  4. Step 4: Simplify right side
    556,835x = 232,209,830,612.12
  5. Step 5: Solve for x
    x = 232,209,830,612.12/556,835
  6. Step 6: Final answer
    x = 417,017.30

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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.