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Finding the Fourth Proportional to 1,473,584, 2,210,376 and 476,312

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Solution

The fourth proportional to 1,473,584, 2,210,376 and 476,312 is: 714,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473,584 : 2,210,376 = 476,312 : x
  2. Step 2: Convert to fraction form
    1,473,584/2,210,376 = 476,312/x
  3. Step 3: Cross multiply
    1,473,584x = 2,210,376 × 476,312
  4. Step 4: Simplify right side
    1,473,584x = 1,052,828,613,312
  5. Step 5: Solve for x
    x = 1,052,828,613,312/1,473,584
  6. Step 6: Final answer
    x = 714,468

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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.