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Finding the Fourth Proportional to 434,046.30, 651,069.45 and 286,302.30

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Solution

The fourth proportional to 434,046.30, 651,069.45 and 286,302.30 is: 429,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,046.30 : 651,069.45 = 286,302.30 : x
  2. Step 2: Convert to fraction form
    434,046.30/651,069.45 = 286,302.30/x
  3. Step 3: Cross multiply
    434,046.30x = 651,069.45 × 286,302.30
  4. Step 4: Simplify right side
    434,046.30x = 186,402,680,994.74
  5. Step 5: Solve for x
    x = 186,402,680,994.74/434,046.30
  6. Step 6: Final answer
    x = 429,453.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.