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Finding the Fourth Proportional to 1,564,416, 2,158,894.08 and 849,024

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Solution

The fourth proportional to 1,564,416, 2,158,894.08 and 849,024 is: 1,171,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564,416 : 2,158,894.08 = 849,024 : x
  2. Step 2: Convert to fraction form
    1,564,416/2,158,894.08 = 849,024/x
  3. Step 3: Cross multiply
    1,564,416x = 2,158,894.08 × 849,024
  4. Step 4: Simplify right side
    1,564,416x = 1,832,952,887,377.92
  5. Step 5: Solve for x
    x = 1,832,952,887,377.92/1,564,416
  6. Step 6: Final answer
    x = 1,171,653.12

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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.