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Finding the Fourth Proportional to 1,049,411, 1,574,382.18 and 301,457

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Solution

The fourth proportional to 1,049,411, 1,574,382.18 and 301,457 is: 452,261.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049,411 : 1,574,382.18 = 301,457 : x
  2. Step 2: Convert to fraction form
    1,049,411/1,574,382.18 = 301,457/x
  3. Step 3: Cross multiply
    1,049,411x = 1,574,382.18 × 301,457
  4. Step 4: Simplify right side
    1,049,411x = 474,608,528,836.26
  5. Step 5: Solve for x
    x = 474,608,528,836.26/1,049,411
  6. Step 6: Final answer
    x = 452,261.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.