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Finding the Fourth Proportional to 713,071.12, 1,069,486.36 and 334,032.40

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Solution

The fourth proportional to 713,071.12, 1,069,486.36 and 334,032.40 is: 500,992.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,071.12 : 1,069,486.36 = 334,032.40 : x
  2. Step 2: Convert to fraction form
    713,071.12/1,069,486.36 = 334,032.40/x
  3. Step 3: Cross multiply
    713,071.12x = 1,069,486.36 × 334,032.40
  4. Step 4: Simplify right side
    713,071.12x = 357,243,095,598.06
  5. Step 5: Solve for x
    x = 357,243,095,598.06/713,071.12
  6. Step 6: Final answer
    x = 500,992.24

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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.