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Finding the Fourth Proportional to 282,967.01, 390,492.61 and 160,482.71

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Solution

The fourth proportional to 282,967.01, 390,492.61 and 160,482.71 is: 221,465.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,967.01 : 390,492.61 = 160,482.71 : x
  2. Step 2: Convert to fraction form
    282,967.01/390,492.61 = 160,482.71/x
  3. Step 3: Cross multiply
    282,967.01x = 390,492.61 × 160,482.71
  4. Step 4: Simplify right side
    282,967.01x = 62,667,312,287.77
  5. Step 5: Solve for x
    x = 62,667,312,287.77/282,967.01
  6. Step 6: Final answer
    x = 221,465.08

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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.