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Finding the Fourth Proportional to 1,411,616.16, 1,948,026.06 and 767,038.32

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Solution

The fourth proportional to 1,411,616.16, 1,948,026.06 and 767,038.32 is: 1,058,510.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,616.16 : 1,948,026.06 = 767,038.32 : x
  2. Step 2: Convert to fraction form
    1,411,616.16/1,948,026.06 = 767,038.32/x
  3. Step 3: Cross multiply
    1,411,616.16x = 1,948,026.06 × 767,038.32
  4. Step 4: Simplify right side
    1,411,616.16x = 1,494,210,636,378.62
  5. Step 5: Solve for x
    x = 1,494,210,636,378.62/1,411,616.16
  6. Step 6: Final answer
    x = 1,058,510.58

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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.