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Finding the Fourth Proportional to 1,411,981.47, 1,948,547.24 and 767,403.21

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Solution

The fourth proportional to 1,411,981.47, 1,948,547.24 and 767,403.21 is: 1,059,023.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,981.47 : 1,948,547.24 = 767,403.21 : x
  2. Step 2: Convert to fraction form
    1,411,981.47/1,948,547.24 = 767,403.21/x
  3. Step 3: Cross multiply
    1,411,981.47x = 1,948,547.24 × 767,403.21
  4. Step 4: Simplify right side
    1,411,981.47x = 1,495,321,402,975.62
  5. Step 5: Solve for x
    x = 1,495,321,402,975.62/1,411,981.47
  6. Step 6: Final answer
    x = 1,059,023.39

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Why These Related Problems?

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