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Finding the Fourth Proportional to 712,851, 983,492.19 and 406,707.45

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Solution

The fourth proportional to 712,851, 983,492.19 and 406,707.45 is: 561,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,851 : 983,492.19 = 406,707.45 : x
  2. Step 2: Convert to fraction form
    712,851/983,492.19 = 406,707.45/x
  3. Step 3: Cross multiply
    712,851x = 983,492.19 × 406,707.45
  4. Step 4: Simplify right side
    712,851x = 399,993,600,689.82
  5. Step 5: Solve for x
    x = 399,993,600,689.82/712,851
  6. Step 6: Final answer
    x = 561,118.10

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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.