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Finding the Fourth Proportional to 712,354, 983,070.76 and 390,094.68

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Solution

The fourth proportional to 712,354, 983,070.76 and 390,094.68 is: 538,342.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,354 : 983,070.76 = 390,094.68 : x
  2. Step 2: Convert to fraction form
    712,354/983,070.76 = 390,094.68/x
  3. Step 3: Cross multiply
    712,354x = 983,070.76 × 390,094.68
  4. Step 4: Simplify right side
    712,354x = 383,490,673,539.56
  5. Step 5: Solve for x
    x = 383,490,673,539.56/712,354
  6. Step 6: Final answer
    x = 538,342.84

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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.